The effective cone of the space of parametrized rational curves in a Grassmannian

Details The effective cone of the space of parametrized rational curves in a Grassmannian The effective cone of the space of parametrized rational curves in a Grassmannian

2011-03-26

arxiv.org/abs/1103.5154v2

Mathematics

Algebraic Geometry

16 pages, 1 figure. V.2: more explanation below Lemma 5.1 following the referee's suggestions. To appear in Math. Z

Scientific paper

We determine the effective cone of the Quot scheme parametrizing all rank r,
degree d quotient sheaves of the trivial bundle of rank n on P^1. More
specifically, we explicitly construct two effective divisors which span the
effective cone, and we also express their classes in the Picard group in terms
of a known basis.

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