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arxiv: alg-geom/9703038 · v3 · submitted 1997-03-28 · alg-geom · math.AG

On Punctual Quot Schemes for Algebraic Surfaces

classification alg-geom math.AG
keywords punctualquotschemealgebraicauthordimensionalellingsrudfixed
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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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