平面曲线 Hilbert 概形的支撑定理 II
代数几何
2021-07-01 v2
摘要
我们研究既约且局部平面曲线的雅可比簇与点的 Hilbert 概形的上同调，其中允许曲线具有奇异性并可约。我们证明，通过反常 Leray 滤过，所有子曲线的所有 Hilbert 概形的上同调都编码在连通子曲线的精细紧致雅可比簇的上同调之中。
引用
@article{arxiv.1508.07602,
title = {A support theorem for Hilbert schemes of planar curves, II},
author = {Luca Migliorini and Vivek Shende and Filippo Viviani},
journal= {arXiv preprint arXiv:1508.07602},
year = {2021}
}
备注
38 pages, version 2. Major expository changes; some of the original arguments in the proof of the main theorem have been simplified