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

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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 \({\mathbb{P}^1}\). 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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  1. Department of Mathematics, University of Pennsylvania, Philadelphia, PA, 19104, USA

    Shin-Yao Jow

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  1. Shin-Yao Jow
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Jow, SY. The effective cone of the space of parametrized rational curves in a Grassmannian. Math. Z. 272, 947–960 (2012). https://doi.org/10.1007/s00209-011-0966-8

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  • DOI: https://doi.org/10.1007/s00209-011-0966-8

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