Virtual cycles of stable (quasi-)maps with fields
Virtual cycles of stable (quasi-)maps with fields
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DOI：
10.1016/j.aim.2021.107781
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发表时间：
2019-11
影响因子：
1.7
通讯作者：
Qile Chen;F. Janda;Rachel Webb
中科院分区：
文献类型：
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作者：
Qile Chen;F. Janda;Rachel Webb
我们将Chang-Li，Kim-oh和Chang-Li关于p-场的模的结果推广到具有射影粗模的任意光滑Deligne-Mumford堆栈的完备交的(拟)映射的设置上。特别地，我们证明了稳定(拟)映射到完全交集的虚圈可以通过环境空间的p-场模的余切局部虚圈恢复。
We generalize the results of Chang–Li, Kim–Oh and Chang–Li on the moduli ofp-fields to the setting of (quasi-)maps to complete intersections in arbitrary smooth Deligne–Mumford stacks with projective coarse moduli. In particular, we show that the virtual cycle of stable (quasi-)maps to a complete intersection can be recovered by the cosection localized virtual cycle of the moduli ofp-fields of the ambient space.