F-纯阈值与标准graded环的 a-不变量
交换代数
2025-08-08 v1 代数几何
摘要
Hirose、Watanabe 和 Yoshida conjectured a criterion for a standard graded strongly -regular ring to be Gorenstein in terms of the -pure threshold. We complete the proof of this conjecture. We also prove natural extensions of the conjecture to section rings of normal, -split projective varieties with respect to globally generated ample divisors. Our proof exploits the geometry of the Proj of the graded ring.
引用
@article{arxiv.2508.04940,
title = {The F-pure threshold versus the a-invariant for standard graded rings},
author = {Suchitra Pande},
journal= {arXiv preprint arXiv:2508.04940},
year = {2025}
}
备注
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