Lectures on Algebraic Geometry II

Basic Concepts, Coherent Cohomology, Curves and their Jacobians

Paperback Engels 2014 9783834826862
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

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.

Specificaties

ISBN13:9783834826862
Taal:Engels
Bindwijze:paperback

Lezersrecensies

Wees de eerste die een lezersrecensie schrijft!

Inhoudsopgave

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

Managementboek Top 100

Rubrieken

    Personen

      Trefwoorden

        Lectures on Algebraic Geometry II