Lectures on Algebraic Geometry II: Basic Concepts, Coherent Cohomology, Curves and Their Jacobians: 39 - Rilegato

Harder, Gunter

Rilegato

ISBN 10: 3834804320 ISBN 13: 9783834804327

Casa editrice: Vieweg + Teubner Verlag, 2011

Riassunto

Abel, Jacobi and Riemann from todays point of view.

Su questo libro

Informazioni sull?autore

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

Dalla quarta di copertina

In this second volume of "Lectures on Algebraic Geometry", the author starts with some foundational concepts in the theory of schemes and gives a somewhat casual introduction into commutative algebra. After that he proves the finiteness results for coherent cohomology and discusses important applications of these finiteness results. In the two last chapters, curves and their Jacobians are treated and some outlook into further directions of research is given.<br>The first volume is not necessarily a prerequisite for the second volume if the reader accepts the concepts on sheaf cohomology. On the other hand, the concepts and results in the second volume have been historically inspired by the theory of Riemann surfaces. There is a deep connection between these two volumes, in spirit they form a unity.<br><br><br>Basic concepts of the Theory of Schemes - Some Commutative Algebra - Projective Schemes - Curves and the Theorem of Riemann-Roch - The Picard functor for curves and Jacobians.<br><br>Prof. Dr. Günter Harder, Department of Mathematics, University of Bonn, and Max-Planck-Institute for Mathematics, Bonn, Germany.<br><br>

Dettagli dell'edizione

• Editore: Vieweg + Teubner Verlag
• Data di pubblicazione: 2011
• Lingua: Inglese
• ISBN 10: 3834804320
• ISBN 13: 9783834804327
• Rilegatura: Copertina rigida
• Numero di pagine: 378
• Redattore: Diederich Klas
• Contatto del produttore: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Germania