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math.AG2026
Bernstein--Sato Theory for D-modules in Positive Characteristic
Daichi Takeuchi
In this article, we develop a positive characteristic analogue of the Bernstein--Sato theory for holonomic D-modules in the complex setting. We work with D-modules on a Noetherian…
math.AG2023★ 4 cited
Gauss sums and Van der Geer--Van der Vlugt curves
Daichi Takeuchi, Takahiro Tsushima
We study Van der Geer--Van der Vlugt curves in a ramification-theoretic view point. We give explicit formulae on L-polynomials of these curves. As a result, we show that these curv…