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Lectures on Vector Bundles

Lectures on Vector Bundles

J. Le Potier

Cambridge University Press
1997
sidottu
This work consists of two courses on the moduli spaces of vector bundles. The first part tackles the classification of vector bundles on algebraic curves. The construction and elementary properties of the moduli spaces of stable bundles are also discussed. In particular, Hilbert-Grothendieck schemes of vector bundles are constructed, and Mumford's geometric invariant theory is succinctly treated. The second part centres on the structure of the moduli space of semi-stable sheaves on the projective plane. Existence conditions for sheaves of given rank and Chern Class and construction ideas are sketched in the general context of projective algebraic surfaces. Professor Le Potier has provided a treatment of vector bundles that will be welcomed by experienced algebraic geometers and novices alike.
Cohomology of Vector Bundles and Syzygies

Cohomology of Vector Bundles and Syzygies

Jerzy Weyman

Cambridge University Press
2003
sidottu
The central theme of this book is an exposition of the geometric technique of calculating syzygies. It is written from a point of view of commutative algebra, and without assuming any knowledge of representation theory the calculation of syzygies of determinantal varieties is explained. The starting point is a definition of Schur functors, and these are discussed from both an algebraic and geometric point of view. Then a chapter on various versions of Bott’s Theorem leads on to a careful explanation of the technique itself, based on a description of the direct image of a Koszul complex. Applications to determinantal varieties follow, plus there are also chapters on applications of the technique to rank varieties for symmetric and skew symmetric tensors of arbitrary degree, closures of conjugacy classes of nilpotent matrices, discriminants and resultants. Numerous exercises are included to give the reader insight into how to apply this important method.
Moduli Spaces and Vector Bundles

Moduli Spaces and Vector Bundles

Cambridge University Press
2009
pokkari
Vector bundles and their associated moduli spaces are of fundamental importance in algebraic geometry. In recent decades this subject has been greatly enhanced by its relationships with other areas of mathematics, including differential geometry, topology and even theoretical physics, specifically gauge theory, quantum field theory and string theory. Peter E. Newstead has been a leading figure in this field almost from its inception and has made many seminal contributions to our understanding of moduli spaces of stable bundles. This volume has been assembled in tribute to Professor Newstead and his contribution to algebraic geometry. Some of the subject's leading experts cover foundational material, while the survey and research papers focus on topics at the forefront of the field. This volume is suitable for both graduate students and more experienced researchers.
An Introduction to Support Vector Machines and Other Kernel-based Learning Methods

An Introduction to Support Vector Machines and Other Kernel-based Learning Methods

Cristianini Nello; Shawe-Taylor John

Cambridge University Press
2000
sidottu
This is the first comprehensive introduction to Support Vector Machines (SVMs), a new generation learning system based on recent advances in statistical learning theory. SVMs deliver state-of-the-art performance in real-world applications such as text categorisation, hand-written character recognition, image classification, biosequences analysis, etc., and are now established as one of the standard tools for machine learning and data mining. Students will find the book both stimulating and accessible, while practitioners will be guided smoothly through the material required for a good grasp of the theory and its applications. The concepts are introduced gradually in accessible and self-contained stages, while the presentation is rigorous and thorough. Pointers to relevant literature and web sites containing software ensure that it forms an ideal starting point for further study. Equally, the book and its associated web site will guide practitioners to updated literature, new applications, and on-line software.
Pest and Vector Control

Pest and Vector Control

H. F. Van Emden; M. W. Service

Cambridge University Press
2004
sidottu
As ravagers of crops and carriers of diseases affecting plants, humans and animals, insects present a challenge to a growing human population. In Pest and Vector Control, first published in 2004, Professors van Emden and Service describe the available options for meeting this challenge, discussing their relative advantages, disadvantages and future potential. Methods such as chemical and biological control, host tolerance and resistance are discussed integrating (often for the first time) information and experience from the agricultural and medical/veterinary fields. Chemical control is seen as a major component of insect control, both now and in the future, but this is balanced with an extensive account of associated problems, especially the development of pesticide-tolerant populations.
Engineering the AAV Vector for Enhanced Tumor Targeting

Engineering the AAV Vector for Enhanced Tumor Targeting

Yuan Lu

Dissertation Discovery Company
2018
pokkari
Dissertation Discovery Company and University of Florida are dedicated to making scholarly works more discoverable and accessible throughout the world. This dissertation, "Engineering the AAV Vector for Enhanced Tumor Targeting" by Lu, Yuan, was obtained from University of Florida and is being sold with permission from the author. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation.
Engineering the AAV Vector for Enhanced Tumor Targeting

Engineering the AAV Vector for Enhanced Tumor Targeting

Yuan Lu

Dissertation Discovery Company
2018
sidottu
Dissertation Discovery Company and University of Florida are dedicated to making scholarly works more discoverable and accessible throughout the world. This dissertation, "Engineering the AAV Vector for Enhanced Tumor Targeting" by Lu, Yuan, was obtained from University of Florida and is being sold with permission from the author. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation.
Clive Cussler's Dark Vector

Clive Cussler's Dark Vector

Graham Brown

G.P. Putnam's Sons
2023
pokkari
Kurt Austin must find a vanished ship and stave off a global catastrophe in the latest novel in the #1 New York Times-bestselling series created by the "grand master of adventure" Clive Cussler. A freighter carrying top-secret computers of unparalleled capability disappears in the Western Pacific. While searching for a lost treasure that once belonged to the famous Chinese pirate queen, Ching Shih, Kurt Austin and Joe Zavala are redirected to look for the missing vessel. Discovering that the sinking of the ship is just part of an intricate web of deception, they find themselves in the middle of a cyber-war between rival groups of hackers, both of whom want to control the flow of data around the world. With no allies except a group of pirates who operate under their own crude laws, Kurt and Joe must rescue a colleague held hostage--while keeping the computers out of Russian or Chinese hands and the world's digital information safe from the hackers.
The Crisis Vector

The Crisis Vector

Steve P Vincent

Steve P Vincent
2024
pokkari
Mitch Herron is done with America. But America isn't done with him.When he went on the run from the authorities, Mitch Herron knew he could never return home to the United States. But after an ambush in Hong Kong that almost left him dead, he found the American government wasn't ready to let him vanish.Now, the ultimate deniable asset has agreed to one last job to save a key intelligence asset. If he fails, America will lose one of its key weapons in an increasingly unstable world, and a key United States ally will be ripe for the picking by its enemies.The man who's tried to evade America's intelligence agencies now has to save them...
Sekandar's Vector

Sekandar's Vector

Alexander Goodman

Alexander Goodman
2018
pokkari
Humankind is on the verge of venturing out into the Milky Way Galaxy. With the imprimatur of the Galactic Council, Sekandar arrives on Earth to prepare them to join his species in their peaceful ascendancy of the galaxy. There is a proviso: the genetic makeup of human beings must be modified to remove their propensity to be violent and to use violence to solve their problems. Sekandar enlists a team of humans and empowers them to work with him to effect the change.
Finite Dimensional Vector Spaces

Finite Dimensional Vector Spaces

Paul R. Halmos

Princeton University Press
1947
pokkari
As a newly minted Ph.D., Paul Halmos came to the Institute for Advanced Study in 1938--even though he did not have a fellowship--to study among the many giants of mathematics who had recently joined the faculty. He eventually became John von Neumann's research assistant, and it was one of von Neumann's inspiring lectures that spurred Halmos to write Finite Dimensional Vector Spaces. The book brought him instant fame as an expositor of mathematics. Finite Dimensional Vector Spaces combines algebra and geometry to discuss the three-dimensional area where vectors can be plotted. The book broke ground as the first formal introduction to linear algebra, a branch of modern mathematics that studies vectors and vector spaces. The book continues to exert its influence sixty years after publication, as linear algebra is now widely used, not only in mathematics but also in the natural and social sciences, for studying such subjects as weather problems, traffic flow, electronic circuits, and population genetics. In 1983 Halmos received the coveted Steele Prize for exposition from the American Mathematical Society for "his many graduate texts in mathematics dealing with finite dimensional vector spaces, measure theory, ergodic theory, and Hilbert space."
Differential Geometry of Complex Vector Bundles

Differential Geometry of Complex Vector Bundles

Shoshichi Kobayashi

Princeton University Press
2014
pokkari
Holomorphic vector bundles have become objects of interest not only to algebraic and differential geometers and complex analysts but also to low dimensional topologists and mathematical physicists working on gauge theory. This book, which grew out of the author's lectures and seminars in Berkeley and Japan, is written for researchers and graduate students in these various fields of mathematics. Originally published in 1987. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Differential Geometry of Complex Vector Bundles

Differential Geometry of Complex Vector Bundles

Shoshichi Kobayashi

Princeton University Press
2016
sidottu
Holomorphic vector bundles have become objects of interest not only to algebraic and differential geometers and complex analysts but also to low dimensional topologists and mathematical physicists working on gauge theory. This book, which grew out of the author's lectures and seminars in Berkeley and Japan, is written for researchers and graduate students in these various fields of mathematics. Originally published in 1987. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Geometry of Vector Sheaves

Geometry of Vector Sheaves

Anastasios Mallios

Springer
1998
sidottu
This two-volume monograph obtains fundamental notions and results of the standard differential geometry of smooth (CINFINITY) manifolds, without using differential calculus. Here, the sheaf-theoretic character is emphasised. This has theoretical advantages such as greater perspective, clarity and unification, but also practical benefits ranging from elementary particle physics, via gauge theories and theoretical cosmology (`differential spaces'), to non-linear PDEs (generalised functions). Thus, more general applications, which are no longer `smooth' in the classical sense, can be coped with. The treatise might also be construed as a new systematic endeavour to confront the ever-increasing notion that the `world around us is far from being smooth enough'. Audience: This work is intended for postgraduate students and researchers whose work involves differential geometry, global analysis, analysis on manifolds, algebraic topology, sheaf theory, cohomology, functional analysis or abstract harmonic analysis.
Nonstandard Analysis and Vector Lattices
This volume collects applications of nonstandard methods to the theory of vector lattices. Primary attention is paid to combining infinitesimal and Boolean-valued constructions of use in the classical problems of representing abstract analytical objects, such as Banach-Kantorovich spaces, vector measures, and dominated and integral operators. The book is a complement to Volume 358 of "MIA Vector Lattices and Integral Operators", printed in 1996.
Continuous Functions of Vector Variables

Continuous Functions of Vector Variables

Alberto Guzman

Birkhauser Boston Inc
2002
nidottu
This text is appropriate for a one-semester course in what is usually called ad­ vanced calculus of several variables. The focus is on expanding the concept of continuity; specifically, we establish theorems related to extreme and intermediate values, generalizing the important results regarding continuous functions of one real variable. We begin by considering the function f(x, y, ... ) of multiple variables as a function of the single vector variable (x, y, ... ). It turns out that most of the n treatment does not need to be limited to the finite-dimensional spaces R , so we will often place ourselves in an arbitrary vector space equipped with the right tools of measurement. We then proceed much as one does with functions on R. First we give an algebraic and metric structure to the set of vectors. We then define limits, leading to the concept of continuity and to properties of continuous functions. Finally, we enlarge upon some topological concepts that surface along the way. A thorough understanding of single-variable calculus is a fundamental require­ ment. The student should be familiar with the axioms of the real number system and be able to use them to develop elementary calculus, that is, to define continuous junction, derivative, and integral, and to prove their most important elementary properties. Familiarity with these properties is a must. To help the reader, we provide references for the needed theorems.
Introduction to Prehomogeneous Vector Spaces

Introduction to Prehomogeneous Vector Spaces

Tatsuo Kimura

Amer Mathematical Society
2002
sidottu
This is the first introductory book on the theory of prehomogeneous vector spaces, introduced in the 1970s by Mikio Sato. The author was an early and important developer of the theory and continues to be active in the field. The subject combines elements of several areas of mathematics, such as algebraic geometry, Lie groups, analysis, number theory, and invariant theory. An important objective is to create applications to number theory. For example, one of the key topics is that of zeta functions attached to prehomogeneous vector spaces; these are generalizations of the Riemann zeta function, a cornerstone of analytic number theory.Prehomogeneous vector spaces are also of use in representation theory, algebraic geometry and invariant theory. This book explains the basic concepts of prehomogeneous vector spaces, the fundamental theorem, the zeta functions associated with prehomogeneous vector spaces, and a classification theory of irreducible prehomogeneous vector spaces. It strives, and to a large extent succeeds, in making this content, which is by its nature fairly technical, self-contained and accessible.The first section of the book, 'Overview of the theory and contents of this book', is particularly noteworthy as an excellent introduction to the subject.
Matrices and Vector SPates

Matrices and Vector SPates

William Brown

CRC Press Inc
1991
sidottu
A textbook for a one-semester course in linear algebra for graduate or upper-level undergraduate students of mathematics and engineering. Employs a matrix perspective, and emphasizes training in definitions, theorems, and proofs. Annotation copyright Book News, Inc. Portland, Or.