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Algebraic Geometry 2: Sheaves and Cohomology by Kenji Ueno is a nonfiction available to read on EtoBox.

What is Algebraic Geometry 2: Sheaves and Cohomology about?

<p>This is the first of three volumes on algebraic geometry. The second volume, Algebraic Geometry 2: Sheaves and Cohomology, is available from the AMS as Volume 197 in the Translations of Mathematical Monographs series. Early in the 20th century, algebraic geometry underwent a significant overhaul, as mathematicians, notably Zariski, introduced a much stronger emphasis on algebra and rigor into the subject. This was followed by another fundamental change in the 1960s with Grothendieck's introduction of schemes. Today, most algebraic geometers are well-versed in the language of schemes, but many newcomers are still initially hesitant about them. Ueno's book provides an inviting introduction to the theory, which should overcome any such impediment to learning this rich subject. The book begins with a description of the standard theory of algebraic varieties. Then, sheaves are introduced and studied, using as few prerequisites as possible. Once sheaf theory has been well understood, the next step is to see that an affine scheme can be defined in terms of a sheaf over the prime spectrum of a ring. By studying algebraic varieties over a field, Ueno demonstrates how the notion of scheme

Who reads Algebraic Geometry 2: Sheaves and Cohomology?

Author

Kenji Ueno

Publisher

American Mathematical Society : Oxford University Press

Published

2001

Language

EN

ISBN

9780821808627

Category

nonfiction

Subjects

Mathematics, Algebra, Stem