3 papers
math.AG2025
On singular supports in mixed characteristic
Takeshi Saito
We fix an excellent regular noetherian scheme over satisfying a certain finiteness condition. For a constructible étale sheaf on a regular scheme…
math.AG2024
Holonomic étale sheaves are constructible
Ahmed Abbes, Takeshi Saito
Building on Beilinson's work, ``constructible sheaves are holonomic,'' we introduce the notion of holonomicity for étale sheaves, without assuming a priori constructibility. Over a…
math.AG2020
Frobenius-Witt differentials and regularity
Takeshi Saito
T. Dupuy, E. Katz, J. Rabinoff, D. Zureick-Brown introduced the module of total -differentials for a ring over . We study the same construction for a ring over …