Classification of Higher Dimensional Algebraic Varieties

Classification of Higher Dimensional Algebraic Varieties
Author: Christopher D. Hacon
Publisher: Springer Science & Business Media
Total Pages: 206
Release: 2011-02-02
Genre: Mathematics
ISBN: 3034602901

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
Total Pages: 421
Release: 2011-06-03
Genre: Mathematics
ISBN: 3110871742

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

Several Complex Variables and Complex Manifolds I

Several Complex Variables and Complex Manifolds I
Author: Mike Field
Publisher: Cambridge University Press
Total Pages: 209
Release: 1982-04
Genre: Mathematics
ISBN: 0521283019

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
Total Pages: 316
Release: 2006-04-20
Genre: Mathematics
ISBN: 0199296863

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.

Algebraic Threefolds

Algebraic Threefolds
Author: Alberto Conte
Publisher: Springer
Total Pages: 322
Release: 2006-11-17
Genre: Mathematics
ISBN: 3540393420