Algebraic Geometry II

Catalog description

Credits 3. 3 Lecture Hours. Continuation of algebraic geometry I; introduction to the basic tools of algebraic geometry in preparation for more specialized topics; topics include review of divisors and line bundles, the Riemann-Roch Theorem, Intersection Numbers, the smooth cubic surface, sheaves and sheaf cohomology; advanced topics include schemes and the Hilbert scheme, Hodge theory and complex geometry, moduli spaces, or Invariant Theory. Prerequisites: MATH 620 or approval of instructor.