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

Several Complex Variables and Complex Manifolds I
Several Complex Variables and Complex Manifolds I

Author: Mike Field

Publisher: Cambridge University Press

Published: 1982-04

Total Pages: 209

ISBN-13: 0521283019

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This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds was first published in 1982. It was intended be a synthesis of those topics and a broad introduction to the field. The work as a whole will be useful to professional mathematicians or mathematical physicists who wish to acquire a further knowledge of this area of mathematics. Many exercises have been included and indeed they form an integral part of the text. The prerequisites for understanding Part I would be met by any mathematics student with a first degree and together the two parts were designed to provide an introduction to the more advanced works in the subject.

Fourier-Mukai Transforms in Algebraic Geometry
Fourier-Mukai Transforms in Algebraic Geometry

Author: Daniel Huybrechts

Publisher: Oxford University Press

Published: 2006-04-20

Total Pages: 316

ISBN-13: 0199296863

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This work is based on a course given at the Institut de Mathematiques de Jussieu, on the derived category of coherent sheaves on a smooth projective variety. It is aimed at students with a basic knowledge of algebraic geometry and contains full proofs and exercises that aid the reader.