Analytic moduli spaces of simple sheaves on families of integral curves

Analytic moduli spaces of simple sheaves on families of integral curves
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DOI:
10.1002/mana.201200355
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发表时间:
2012-12
影响因子:
1
通讯作者:
I. Burban;B. Kreußler
I. Burban;B. Kreußler
中科院分区:
数学3区
文献类型:
--
作者:
I. Burban;B. Kreußler

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证明了不可约曲线族上单凝聚层的细模空间的存在性。我们的证明是基于存在一个普遍的上限的Castelnuovo-Mumford正则性,这样的层,我们提供。
We prove the existence of fine moduli spaces of simple coherent sheaves on families of irreducible curves. Our proof is based on the existence of a universal upper bound of the Castelnuovo–Mumford regularity of such sheaves, which we provide.