Lectures on Algebraic Geometry II

Basic Concepts, Coherent Cohomology, Curves and their Jacobians

(Autor)

Buch | Hardcover
XIII, 365 Seiten
2011 | 2011
Vieweg & Teubner (Verlag)
978-3-8348-0432-7 (ISBN)
160,49 inkl. MwSt
Abel, Jacobi and Riemann from todays point of view.

Unsere Nr. 1 in der Steuerlehre
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.

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

Aus dem Inhalt:
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

Erscheint lt. Verlag 5.4.2011
Reihe/Serie Aspects of Mathematics
Mitarbeit Herausgeber (Serie): Klas Diederich
Zusatzinfo XIII, 365 p.
Verlagsort Wiesbaden
Sprache englisch
Maße 168 x 240 mm
Gewicht 885 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Geometrie / Topologie
Schlagworte Algebraic Geometry • Algebraische Geometrie • Algebraische Geometrie; Handbuch/Lehrbuch • cohomology • Kommutative Algebra • Sheaves
ISBN-10 3-8348-0432-0 / 3834804320
ISBN-13 978-3-8348-0432-7 / 9783834804327
Zustand Neuware
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