Suchitra Pande

activity

20232026

collaborators

8 papers

math.AG2026

The $F$ -signature Function on the Big Cone

Seungsu Lee, Suchitra Pande

We define and study the $F$ -signature of big divisors on projective varieties in positive characteristics. For a normal projective variety $X$ , we show that the $F$ -signature funct…

math.AC2026

The F-signature of Determinantal Rings

Hang Huang, Cheng Meng, Cheng Mend +2

Let $R_{n, p}$ be the determinantal hypersurface ring defined by the determinant of a generic $n \times n$ matrix in characteristic $p$ where $n \geq 2$ . In this paper, we obtain ex…

math.AG2026

On positivity of the limit F-signature

Yuchen Liu, Suchitra Pande

We study a conjecture of Carvajal-Rojas, Schwede and Tucker which states that for a complex KLT singularity $(R, m)$ , the F-signatures of the reductions of $R$ to charac…

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…

math.AG2025

Plus-pure thresholds of some cusp-like singularities in mixed characteristic

Hanlin Cai, Suchitra Pande, Eamon Quinlan-Gallego +2

Log-canonical and $F$ -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…

math.AG2023

A Frobenius Version of Tians Alpha-Invariant

Suchitra Pande

For a pair (X,L) consisting of a projective variety X over a perfect field of characteristic p>0 and an ample line bundle L on X, we introduce and study a positive characteristic a…

The F-signature Function on the Big Cone

The F-signature of Determinantal Rings

On positivity of the limit F-signature

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

Plus-pure thresholds of some cusp-like singularities in mixed characteristic

A Frobenius Version of Tians Alpha-Invariant

The $F$ -signature Function on the Big Cone

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

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