6 papers
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 , the F-signatures of the reductions of to charac…
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…
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…
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…
Limit -signature functions of two-variable binomial hypersurfaces
Anna Brosowsky, Izzet Coskun, Suchitra Pande +1
The -signature is a fundamental numerical invariant of singularities in positive characteristic. Its positivity detects strong -regularity, an important class of singularitie…
The F-signature Function on the Ample Cone
Seungsu Lee, Suchitra Pande
For any fixed globally F-regular projective variety X over an algebraically closed field of positive characteristic, we study the F-signature of section rings of X with respect to…