Methods of Homological Algebra


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Viewed 1k times. Alexander Grothendieck.

Alexander Grothendieck Alexander Grothendieck 1, 11 11 silver badges 32 32 bronze badges. The right derived functors of the global sections of a sheaf are what are known as the sheaf cohomology. These are useful, for example, in understanding invariants of line bundles on projective varieties. The most basic principle is to study the abelian category of quasi-coherent, resp.

As someone with only a cursory background in algebraic geometry, this certainly helped me understand a few of the motivations. Sign up or log in Sign up using Google.

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Related Hot Network Questions. Homological algebra first arose as a language for describing topological prospects of geometrical objects. As with every successful language it quickly expanded its coverage and semantics, and its contemporary applications are many and diverse.

This modern approach to homological algebra, by two leading writers in the field, is based on the systematic use of the language and ideas of derived categories and derived functors. Relations with standard cohomology theory sheaf cohomology, spectral sequences, etc. In most cases complete proofs are given.

Methods of Homological Algebra

Basic concepts and results of homotopical algebra are also presented. The book addresses people who want to learn a modern approach to homological algebra and to use it in their work. For the second edition the authors have made numerous corrections. It is based on the systematic use of the language and technics of derived categories and derived functors.

The reader has all the basic material and a lot of examples ….

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This book can be used by students just beginning to study homological algebra, as well as by specialists who will find there some points which have never been clarified in the literature. JavaScript is currently disabled, this site works much better if you enable JavaScript in your browser. Mathematics Algebra.

Methods of Homological Algebra Methods of Homological Algebra
Methods of Homological Algebra Methods of Homological Algebra
Methods of Homological Algebra Methods of Homological Algebra
Methods of Homological Algebra Methods of Homological Algebra
Methods of Homological Algebra Methods of Homological Algebra
Methods of Homological Algebra Methods of Homological Algebra
Methods of Homological Algebra Methods of Homological Algebra
Methods of Homological Algebra Methods of Homological Algebra

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