Lectures On Algebraic Geometry I
Download Lectures On Algebraic Geometry I PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Lectures On Algebraic Geometry I book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Lectures on Algebraic Geometry II
Author: Günter Harder
language: en
Publisher: Springer Science & Business Media
Release Date: 2011-04-21
This second volume introduces the concept of shemes, reviews some commutative algebra and introduces projective schemes. The finiteness theorem for coherent sheaves is proved, here again the techniques of homological algebra and sheaf cohomology are needed. In the last two chapters, projective curves over an arbitrary ground field are discussed, the theory of Jacobians is developed, and the existence of the Picard scheme is proved. Finally, the author gives some outlook into further developments- for instance étale cohomology- and states some fundamental theorems.
Lectures on Logarithmic Algebraic Geometry
Author: Arthur Ogus
language: en
Publisher: Cambridge University Press
Release Date: 2018-11-08
A self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry.
Lectures on Algebraic Geometry I
Author: Günter Harder
language: en
Publisher: Springer Science & Business Media
Release Date: 2008-08-01
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. In the last chapter of volume I these concepts are applied to the theory of compact Riemann surfaces. In this chapter the author makes clear how influential the ideas of Abel, Riemann and Jacobi were and that many of the modern methods have been anticipated by them.