Perverse Coherent Sheaves on Blow-ups at Codimension 2 Loci
Perverse Coherent Sheaves on Blow-ups at Codimension 2 Loci
复制标题
反常相干滑轮对 Codimension 2 Loci 的放大
DOI：
10.1093/imrn/rnz175
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发表时间：
2019
影响因子：
1
通讯作者：
Koseki Naoki
中科院分区：
文献类型：
--
作者：
Higaki Mitsuo;Maekawa Yasunori;Nakahara Yuu;檜垣充朗;檜垣充朗;檜垣充朗;檜垣充朗;檜垣充朗;檜垣充朗;檜垣充朗;Koseki Naoki
设是光滑射影簇沿其余维2光滑闭子簇的爆破。在本文中，我们证明了和上的稳定层的模空间由一系列翻转图连接。结果是Nakajima和Yoshioka结果的高维推广，这是的情况。作为我们一般结果的应用，我们研究了两点Hilbert格式的双有理几何。
Letbe the blow-up of a smooth projective varietyalong its codimension two smooth closed subvariety. In this paper, we show that the moduli space of stable sheaves onandare connected by a sequence of flip-like diagrams. The result is a higher dimensional generalization of the result of Nakajima and Yoshioka, which is the case of. As an application of our general result, we study the birational geometry of the Hilbert scheme of two points.