Introduction to enumerative geometry.
Prerequisites
Suggested audience: 5th year students, PhD students.
Prerequisites: Familiarity with scheme theory.
Programme
Introduction to Chow rings. Schubert calculus. Chern classes. Lines on hypersurfaces. Brill-Noether theory.
Educational aims
Teaching the foundations of Enumerative Geometry.
Bibliographical references
D. Eisenbud, J. Harris, 3264 & All That - Intersection Theory in Algebraic Geometry, Cambridge University Press.