The F-pure threshold versus the a-invariant for standard graded rings
arXiv:2508.04940
Abstract
Hirose, Watanabe and 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.
10 Pages, Comments Welcome!