半正定靶的高亏格拟映射壁穿越
代数几何
2015-05-22 v2
摘要
在先前的工作 (arXiv:1304.7056) 中，我们 conjectured 了 GIT 商的亏格零拟映射不变量的壁穿越公式，并在许多情况下通过定位法证明了它们。我们将这些公式推广到靶为半正定情形下的高亏格情况，并证明了其适用于半正定环簇流形，特别是环簇局部 Calabi-Yau 靶。该证明也适用于与某些非阿贝尔商相关的局部 Calabi-Yau 流形。
引用
@article{arxiv.1308.6377,
title = {Higher genus quasimap wall-crossing for semi-positive targets},
author = {Ionut Ciocan-Fontanine and Bumsig Kim},
journal= {arXiv preprint arXiv:1308.6377},
year = {2015}
}
备注
A missing correction term in genus 1 is now included in the statements of Conjectures 1.2.1-1.2.2. Minor changes in exposition, as suggested by the referee. Final version, to appear in JEMS