$K$ 等价与积分上同调
代数几何
2026-02-03 v2
摘要
我们引入了积分 Hodge 多项式的版本，用于编码光滑射影变形的积分上同调。我们证明它扩展为在变形的格朗茨环上的一个良定义函数，并以此为 consequence 得出， 等价的光滑射影变形具有同构的积分上同调群。
引用
@article{arxiv.2601.22085,
title = {$K$-Equivalence and Integral Cohomology},
author = {Matthew Satriano and Evan Sundbo},
journal= {arXiv preprint arXiv:2601.22085},
year = {2026}
}
备注
7 pages, comments are welcome! This version includes references to work in which the main result was previously shown to be true, which we were made aware of after the first version was posted