On Punctual Quot Schemes for Algebraic Surfaces

Details On Punctual Quot Schemes for Algebraic Surfaces On Punctual Quot Schemes for Algebraic Surfaces

1997-03-28

arxiv.org/abs/alg-geom/9703038v3

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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