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math.AG2022★ 2 cited
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…
math.AC2022★ 2 cited
Perfectoid signature, perfectoid Hilbert-Kunz multiplicity, and an application to local fundamental groups
Hanlin Cai, Seungsu Lee, Linquan Ma +2
We define a (perfectoid) mixed characteristic version of -signature and Hilbert-Kunz multiplicity by utilizing the perfectoidization functor of Bhatt-Scholze and Faltings' norma…