On Punctual Quot Schemes for Algebraic Surfaces

Abstract

The punctual Quot scheme parametrizes all length d quotients of a (locally) trivial rank r sheaf which are supported at a fixed point. The author shows that this scheme is irreducible and (rd-1)-dimensional. The same result was proved independently by Ellingsrud and Lehn.

Latex2e, amssymb, amsmath packages; 4 pages. Proofs simplified

Cited by in corpus (2)

• Cohomology of large semiprojective hyperkaehler varieties
• Motivic classes of Quot-schemes on surfaces