Subcategories

Topology for Physicists

Posted By: AvaxGenius
Topology for Physicists

Topology for Physicists by Albert S. Schwarz
English | PDF | 1994 | 299 Pages | ISBN : 3642081312 | 32.6 MB

This volume, written by someone who has made many significant contributions to mathematical physics, not least to the present dialogue between mathematicians and physicists, aims to present some of the basic material in algebraic topology at the level of a fairly sophisticated theoretical physics graduate student.

Complex Abelian Varieties

Posted By: AvaxGenius
Complex Abelian Varieties

Complex Abelian Varieties by Christina Birkenhake
English | PDF | 2004 | 635 Pages | ISBN : 3642058078 | 4.17 MB

Abelian varieties are special examples of projective varieties. As such they can be described by a set of homogeneous polynomial equations. The theory of abelian varieties originated in the beginning of the ninetheenth centrury with the work of Abel and Jacobi.

Lectures on Algebraic Geometry I: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces

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Lectures on Algebraic Geometry I: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces

Lectures on Algebraic Geometry I: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces by Günter Harder
English | PDF | 2008 | 301 Pages | ISBN : 3528031360 | 2.81 MB

This book and the following second volume is an introduction into modern algebraic geometry. In the first volume the methods of homological algebra, theory of sheaves, and sheaf cohomology are developed. These methods are indispensable for modern algebraic geometry, but they are also fundamental for other branches of mathematics and of great interest in their own.

Manifolds, Sheaves, and Cohomology

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Manifolds, Sheaves, and Cohomology

Manifolds, Sheaves, and Cohomology by Torsten Wedhorn
English | EPUB | 2016 | 366 Pages | ISBN : 3658106328 | 8.51 MB

This book explains techniques that are essential in almost all branches of modern geometry such as algebraic geometry, complex geometry, or non-archimedian geometry. It uses the most accessible case, real and complex manifolds, as a model. The author especially emphasizes the difference between local and global questions.