[PDF] Classification Theories Of Polarized Varieties eBook

Author : Takao Fujita
Publisher : Cambridge University Press
Page : 223 pages
File Size : 36,25 MB
Release : 1990
Category : Algebraic varieties
ISBN : 0521392020

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A polarised variety is a modern generalization of the notion of a variety in classical algebraic geometry. It consists of a pair: the algebraic variety itself, together with an ample line bundle on it. Using techniques from abstract algebraic geometry that have been developed over recent decades, Professor Fujita develops classification theories of such pairs using invariants that are polarised higher-dimensional versions of the genus of algebraic curves. The heart of the book is the theory of D-genus and sectional genus developed by the author, but numerous related topics are discussed or sur.

Author : Takao Fujita
Publisher : Cambridge University Press
Page : 0 pages
File Size : 12,37 MB
Release : 1990-08-23
Category : Mathematics
ISBN : 9780521392020

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Using techniques from abstract algebraic geometry that have been developed over recent decades, Professor Fujita develops classification theories of such pairs using invariants that are polarized higher-dimensional versions of the genus of algebraic curves. The heart of the book is the theory of D-genus and sectional genus developed by the author, but numerous related topics are discussed or surveyed. Proofs are given in full in the central part of the development, but background and technical results are sometimes sketched in when the details are not essential for understanding the key ideas.

Author : Takao Fujita
Publisher :
Page : 220 pages
File Size : 25,78 MB
Release : 2014-05-14
Category : MATHEMATICS
ISBN : 9781107361645

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Using techniques from abstract algebraic geometry that have been developed over recent decades, Professor Fujita develops classification theories of such pairs using invariants that are polarized higher-dimensional versions of the genus of algebraic curves. The heart of the book is the theory of D-genus and sectional genus developed by the author, but numerous related topics are discussed or surveyed. Proofs are given in full in the central part of the development, but background and technical results are sometimes sketched in when the details are not essential for understanding the key ideas.

Author : Mauro C. Beltrametti
Publisher : Walter de Gruyter
Page : 421 pages
File Size : 47,12 MB
Release : 2011-06-03
Category : Mathematics
ISBN : 3110871742

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The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany

Author : Eduardo Casas-Alvero
Publisher : Cambridge University Press
Page : 363 pages
File Size : 20,29 MB
Release : 2000-08-31
Category : Mathematics
ISBN : 0521789591

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Comprehensive and self-contained exposition of singularities of plane curves, including new, previously unpublished results.

Author : Michael D. Atkinson
Publisher : Cambridge University Press
Page : 290 pages
File Size : 45,25 MB
Release : 2000-06-15
Category : Mathematics
ISBN : 9780521788892

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A collection of papers from leading researchers in algebra and geometric group theory.

Author : F. Blanchard
Publisher : Cambridge University Press
Page : 268 pages
File Size : 10,17 MB
Release : 2000-06-29
Category : Mathematics
ISBN : 9780521796606

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This book is devoted to recent developments in symbolic dynamics, and it comprises eight chapters. The first two are concerned with the study of symbolic sequences of 'low complexity', the following two introduce 'high complexity' systems. The later chapters go on to deal with more specialised topics including ergodic theory, number theory, and one-dimensional dynamics.

Author : Shahn Majid
Publisher : Cambridge University Press
Page : 183 pages
File Size : 41,26 MB
Release : 2002-04-04
Category : Mathematics
ISBN : 0521010411

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Self-contained introduction to quantum groups as algebraic objects, suitable as a textbook for graduate courses.

Author : Pertti Lounesto
Publisher : Cambridge University Press
Page : 352 pages
File Size : 27,49 MB
Release : 2001-05-03
Category : Mathematics
ISBN : 0521005515

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This is the second edition of a popular work offering a unique introduction to Clifford algebras and spinors. The beginning chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron, electromagnetism and special relativity with a flavour of Clifford algebras. This edition has three new chapters, including material on conformal invariance and a history of Clifford algebras.

Author : Emilio Bujalance García
Publisher : Cambridge University Press
Page : 196 pages
File Size : 46,21 MB
Release : 2001-06-14
Category : Mathematics
ISBN : 9780521003506

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Introduction to Riemann surfaces for graduates and researchers, giving refreshingly new insights into the subject.