TY  - BOOK
AU  - Harder,Günter
ED  - SpringerLink (Online service)
TI  - Lectures on Algebraic Geometry I: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces 
T2  - Aspects of Mathematics,
SN  - 9783834895011
AV  - QA564-609 
U1  - 516.35 23
PY  - 2008///
CY  - Wiesbaden
PB  - Vieweg+Teubner Verlag
KW  - Geometry, algebraic
KW  - Geometry
KW  - Algebraic Geometry
N1  - Categories, products, Projective and Inductive Limits -- Basic Concepts of Homological Algebra -- Sheaves -- Cohomology of Sheaves -- Compact Riemann surfaces and Abelian Varieties
N2  - 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
UR  - https://doi.org/10.1007/978-3-8348-9501-1
ER  -