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Lectures on Algebraic Geometry II de Günter Harder

Lectures on Algebraic Geometry II: Aspects of Mathematics, cartea 39

Autor Günter Harder
en Limba Engleză Hardback – 5 apr 2011

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Specificații

ISBN-13: 9783834804327
ISBN-10: 3834804320
Pagini: 380
Ilustrații: XIII, 365 p.
Dimensiuni: 173 x 246 x 29 mm
Greutate: 0.83 kg
Ediția:2011
Editura: Vieweg+Teubner Verlag
Colecția Aspects of Mathematics
Seria Aspects of Mathematics

Locul publicării:Wiesbaden, Germany

Public țintă

Research

Notă biografică

Gunter Harder (1938-2025) was appointed Professor of Mathematics at the University of Bonn in 1969. He was a long term scientific member of the Max-Planck-Institute for Mathematics, Bonn, and he served as one of its directors from 1995 to 2006. He received the Gottfried Wilhelm Leibniz-Preis in 1987, and the Karl Georg Christian von Staudt-Preis in 2004. His research areas were number theory, in particular, the arithmetic of algebraic groups and the theory of automorphic forms, and he was one of the important contributors to the study of the cohomology of these groups.

Textul de pe ultima copertă

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.
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.


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.

Prof. Dr. Günter Harder, Department of Mathematics, University of Bonn, and Max-Planck-Institute for Mathematics, Bonn, Germany.