Classification Theories of Polarized Varieties
Classification Theories of Polarized Varieties

Author: Takao Fujita

Publisher: Cambridge University Press

Published: 1990

Total Pages: 223

ISBN-13: 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.

Classification Theory of Polarized Varieties
Classification Theory of Polarized Varieties

Author: Takao Fujita

Publisher: Cambridge University Press

Published: 1990-08-23

Total Pages: 0

ISBN-13: 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.

Classification Theory of Polarized Varieties
Classification Theory of Polarized Varieties

Author: Takao Fujita

Publisher:

Published: 2014-05-14

Total Pages: 220

ISBN-13: 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.

The Adjunction Theory of Complex Projective Varieties
The Adjunction Theory of Complex Projective Varieties

Author: Mauro C. Beltrametti

Publisher: Walter de Gruyter

Published: 2011-06-03

Total Pages: 421

ISBN-13: 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

Auslander-Buchweitz Approximations of Equivariant Modules
Auslander-Buchweitz Approximations of Equivariant Modules

Author: Mitsuyasu Hashimoto

Publisher: Cambridge University Press

Published: 2000-11-02

Total Pages: 301

ISBN-13: 0521796962

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This book focuses on homological aspects of equivariant modules. It presents a new homological approximation theory in the category of equivariant modules, unifying the Cohen-Macaulay approximations in commutative ring theory and Ringel's theory of delta-good approximations for quasi-hereditary algebras and reductive groups. It also provides detailed introduction to homological algebra, commutative ring theory and homological theory of comodules of co-algebras over an arbitrary base. The book is primarily aimed at researchers but will also be suitable for graduate students.

Singularities of Plane Curves
Singularities of Plane Curves

Author: Eduardo Casas-Alvero

Publisher: Cambridge University Press

Published: 2000-08-31

Total Pages: 363

ISBN-13: 0521789591

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Comprehensive and self-contained exposition of singularities of plane curves, including new, previously unpublished results.

A Quantum Groups Primer
A Quantum Groups Primer

Author: Shahn Majid

Publisher: Cambridge University Press

Published: 2002-04-04

Total Pages: 183

ISBN-13: 0521010411

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

Clifford Algebras and Spinors
Clifford Algebras and Spinors

Author: Pertti Lounesto

Publisher: Cambridge University Press

Published: 2001-05-03

Total Pages: 352

ISBN-13: 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.

Topics on Riemann Surfaces and Fuchsian Groups
Topics on Riemann Surfaces and Fuchsian Groups

Author: Emilio Bujalance García

Publisher: Cambridge University Press

Published: 2001-06-14

Total Pages: 196

ISBN-13: 9780521003506

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