Suchitra Pande

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math.AC2025

Hilbert-Kunz multiplicity and $F$ -signature can disagree

Seungsu Lee, Suchitra Pande, Austyn Simpson

We compute the $F$ -signature function of the ample cone of any nontrivial ruled surface over $P_{k}^{1}$ where $k$ 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 $F$ -regular ring to be Gorenstein in terms of the $F$ -pure threshold. We complete the proof of t…

math.AC2025

Limit $F$ -signature functions of two-variable binomial hypersurfaces

Anna Brosowsky, Izzet Coskun, Suchitra Pande +1

The $F$ -signature is a fundamental numerical invariant of singularities in positive characteristic. Its positivity detects strong $F$ -regularity, an important class of singularitie…

Hilbert-Kunz multiplicity and F-signature can disagree

The F-pure threshold versus the a-invariant for standard graded rings

Limit F-signature functions of two-variable binomial hypersurfaces

Hilbert-Kunz multiplicity and $F$ -signature can disagree

Limit $F$ -signature functions of two-variable binomial hypersurfaces