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arXiv · 1103.5154

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

Shin-Yao Jow
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Abstract

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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Shin-Yao Jow. 2011-10-23. The effective cone of the space of parametrized rational curves in a Grassmannian. https://arxiv.org/abs/1103.5154

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