Lectures on Algebraic Geometry II | Basic Concepts, Coherent Cohomology, Curves and their Jacobians

Günter Harder

ISBN 10: 3834826863 / ISBN 13: 9783834826862

Published by Vieweg & Teubner, 2014

About this Item

Lectures on Algebraic Geometry II | Basic Concepts, Coherent Cohomology, Curves and their Jacobians | Günter Harder | Taschenbuch | xiii | Englisch | 2014 | Vieweg & Teubner | EAN 9783834826862 | Verantwortliche Person für die EU: Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Str. 46, 65189 Wiesbaden, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

Seller Inventory # 104914050

Bibliographic Details

• Title: Lectures on Algebraic Geometry II | Basic Concepts, Coherent Cohomology, Curves and their Jacobians
• Publisher: Vieweg & Teubner
• Publication Date: 2014
• Language: English
• ISBN 10: 3834826863
• ISBN 13: 9783834826862
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 240W x 168H x 21D millimeters 240 millimeters width by 168 millimeters height by 21 millimeters depth
• Weight: 636 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

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.

About the Author

Prof. Dr. Günter Harder, Max-Planck-Institute for Mathematics, Bonn