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
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格拉斯曼参数化有理曲线空间的有效锥

DOI:
10.1007/s00209-011-0966-8
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发表时间:
2011
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影响因子:
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通讯作者:
Shin
Shin
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--
文献类型:
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作者:
Shin

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我们确定了 Quot 方案的有效锥体,参数化了普通的Ranknon束的所有Rankr、度商滑轮。更具体地说,我们显式地构造了两个跨越有效锥体的有效除数,并且我们还根据已知的基在皮卡德群中表达了它们的类别。
We determine the effective cone of the Quot scheme parametrizing all rankr, degreedquotient sheaves of the trivial bundle of ranknon. 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.