3 papers
math.AC2025
Hilbert-Kunz multiplicity and -signature can disagree
Seungsu Lee, Suchitra Pande, Austyn Simpson
We compute the -signature function of the ample cone of any nontrivial ruled surface over where is an algebraically closed field of prime characteristic. As…
math.AC2025
The F-pure threshold versus the a-invariant for standard graded rings
Suchitra Pande
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 t…
math.AG2025
Plus-pure thresholds of some cusp-like singularities in mixed characteristic
Hanlin Cai, Suchitra Pande, Eamon Quinlan-Gallego +2
Log-canonical and -pure thresholds of pairs in equal characteristic admit an analog in the recent theory of singularities in mixed characteristic, which is known as the plus-pur…