1 - Springer Vieweg

MaTheMaTik | Monographie
Algebraic Geometry: From Abel and Riemann until today
Günter Harder
Lectures on
algebraic geometry ii
Basic concepts, Coherent
Cohomolgy, Curves and
their Jacobians
Das Buch
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.
Der 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
Harder, Günter
Lectures on Algebraic Geometry II
Basic Concepts, Coherent Cohomology, Curves and their
Jacobians.
2008. Approx. 300 pp. (Aspects of Mathematics 39)
Hardc. Approx. EUR 54,90
Warengruppe 1624
ISBN 978-3-8348-0432-7
März 2008
Ë|xHSNINEy804327z
Die Zielgruppen
Mathematiker und Studierende höherer Semester, die sich für
algebraische Geometrie und deren Beziehungen zur Topologie
und zur Zahlentheorie in der Forschung interessieren
Der Autor
Prof. Dr. Günter Harder, Max-Planck-Institute for Mathematics,
Bonn
Wichtige Titel aus dem Umfeld
Harder, Lectures on Algebraic Geometry I
Consani/Marcolli, Noncommutative Geometry and Number Theory
Albeverio/Marcolli et.al., Traces in Number Theory, Geometry
and Quantum Fields
Hertling, Frobenius Manifolds
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