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 of Higher Dimensional Algebraic Varieties
Classification of Higher Dimensional Algebraic Varieties

Author: Christopher D. Hacon

Publisher: Springer Science & Business Media

Published: 2011-02-02

Total Pages: 206

ISBN-13: 3034602901

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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.

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

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.

Aspects of Sobolev-Type Inequalities
Aspects of Sobolev-Type Inequalities

Author: L. Saloff-Coste

Publisher: Cambridge University Press

Published: 2002

Total Pages: 204

ISBN-13: 9780521006071

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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

Author: Alessio Corti

Publisher: Cambridge University Press

Published: 2000-07-27

Total Pages: 364

ISBN-13: 9780521636414

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

Encyclopaedia of Mathematics
Encyclopaedia of Mathematics

Author: Michiel Hazewinkel

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 595

ISBN-13: 9401512884

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This is the first Supplementary volume to Kluwer's highly acclaimed Encyclopaedia of Mathematics. This additional volume contains nearly 600 new entries written by experts and covers developments and topics not included in the already published 10-volume set. These entries have been arranged alphabetically throughout. A detailed index is included in the book. This Supplementary volume enhances the existing 10-volume set. Together, these eleven volumes represent the most authoritative, comprehensive up-to-date Encyclopaedia of Mathematics available.