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Classification Theories of Polarized Varieties

Classification Theories of Polarized Varieties PDF Author: Takao Fujita
Publisher: Cambridge University Press
ISBN: 0521392020
Category : Algebraic varieties
Languages : en
Pages : 223

Book Description
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 Theories of Polarized Varieties

Classification Theories of Polarized Varieties PDF Author: Takao Fujita
Publisher: Cambridge University Press
ISBN: 0521392020
Category : Algebraic varieties
Languages : en
Pages : 223

Book Description
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 PDF Author: Takao Fujita
Publisher: Cambridge University Press
ISBN: 9780521392020
Category : Mathematics
Languages : en
Pages : 0

Book Description
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 PDF Author: Takao Fujita
Publisher:
ISBN: 9781107361645
Category : MATHEMATICS
Languages : en
Pages : 220

Book Description
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.

Moduli Theory and Classification Theory of Algebraic Varieties

Moduli Theory and Classification Theory of Algebraic Varieties PDF Author: H. Popp
Publisher: Springer
ISBN: 3540370315
Category : Mathematics
Languages : en
Pages : 196

Book Description


The Adjunction Theory of Complex Projective Varieties

The Adjunction Theory of Complex Projective Varieties PDF Author: Mauro C. Beltrametti
Publisher: Walter de Gruyter
ISBN: 3110871742
Category : Mathematics
Languages : en
Pages : 421

Book Description
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 CearĂ¡, 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

Classification of Higher Dimensional Algebraic Varieties

Classification of Higher Dimensional Algebraic Varieties PDF Author: Christopher D. Hacon
Publisher: Springer Science & Business Media
ISBN: 3034602901
Category : Mathematics
Languages : en
Pages : 206

Book Description
Higher Dimensional Algebraic Geometry presents recent advances in the classification of complex projective varieties. Recent results in the minimal model program are discussed, and an introduction to the theory of moduli spaces is presented.

A Quantum Groups Primer

A Quantum Groups Primer PDF Author: Shahn Majid
Publisher: Cambridge University Press
ISBN: 0521010411
Category : Mathematics
Languages : en
Pages : 183

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

Aspects of Sobolev-Type Inequalities

Aspects of Sobolev-Type Inequalities PDF Author: L. Saloff-Coste
Publisher: Cambridge University Press
ISBN: 9780521006071
Category : Mathematics
Languages : en
Pages : 204

Book Description
Focusing on Poincaré, Nash and other Sobolev-type inequalities and their applications to the Laplace and heat diffusion equations on Riemannian manifolds, this text is an advanced graduate book that will also suit researchers.

Explicit Birational Geometry of 3-folds

Explicit Birational Geometry of 3-folds PDF Author: Alessio Corti
Publisher: Cambridge University Press
ISBN: 9780521636414
Category : Mathematics
Languages : en
Pages : 364

Book Description
This volume, first published in 2000, is an integrated suite of papers centred around applications of Mori theory to birational geometry.

Characters and Automorphism Groups of Compact Riemann Surfaces

Characters and Automorphism Groups of Compact Riemann Surfaces PDF Author: Thomas Breuer
Publisher: Cambridge University Press
ISBN: 9780521798099
Category : Mathematics
Languages : en
Pages : 216

Book Description
Addresses a topic from classical analysis using modern algebraic and computational tools. For graduates and researchers.