The effective cone of the moduli space of sheaves on the plane
The effective cone of the moduli space of sheaves on the plane
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平面上滑轮模空间的有效锥
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
Matthew Woolf
中科院分区：
文献类型：
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作者：
Izzet Coskun;J. Huizenga;Matthew Woolf
我们计算了平面上半稳定层的模空间上的有效因子锥。计算的关键在于找到一个一般稳定层的良好分辨率。该分辨率由Bridgeland稳定性决定，并且来自精心选择的Beilinson光谱序列。一个好的谱序列选择的存在性依赖于例外丛的斜率的显著数论性质。
We compute the cone of effective divisors on any moduli space of semistable sheaves on the plane. The computation hinges on finding a good resolution of a general stable sheaf. This resolution is determined by Bridgeland stability and arises from a well-chosen Beilinson spectral sequence. The existence of a good choice of spectral sequence depends on remarkable number-theoretic properties of the slopes of exceptional bundles.