Lectures on Algebraic Geometry I: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces (Aspects of Mathematics Book 35) 2nd Edition by Günter Harder (PDF)

Description

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. For this second edition the text was completely revised and corrected. The author also added a short section on moduli of elliptic curves with N-level structures. This new paragraph anticipates some of the techniques of volume II.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is the first volume of yet another accessible account (in three volumes) of algebraic geometry.This volume treats 1. category and limits, 2. introductory horological algebra, 3. introductory sheaf theory, 4. sheaf cohomology and 5. Riemann-Roch theorem.Let me list the pros and cons, as that will explain why I gave only three stars to this book.Pros — Easy to read. Many examples.Cons — A lot of typos and inconsistencies in notations (sometimes due to erroneous usage of LaTeX.)I guess this volume is meant to be an introduction to the subject.And I am convinced it would have fully achieved its objective if the authour (or semeone else) had spent more time in proofreading the manuscript.I will give five stars if he corrects the problem in a revised edition in the near future.

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Lectures on Algebraic Geometry I: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces (Aspects of Mathematics Book 35) 2nd Edition PDF Free Download
Download Lectures on Algebraic Geometry I: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces (Aspects of Mathematics Book 35) 2nd Edition 2011 PDF Free
Lectures on Algebraic Geometry I: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces (Aspects of Mathematics Book 35) 2nd Edition 2011 PDF Free Download
Download Lectures on Algebraic Geometry I: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces (Aspects of Mathematics Book 35) 2nd Edition PDF
Free Download Ebook Lectures on Algebraic Geometry I: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces (Aspects of Mathematics Book 35) 2nd Edition