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11 papers · 2 filters
Twisted calculus on affinoid algebras
Bernard Le Stum, Adolfo Quirós
We introduce the notion of a twisted differential operator of given radius relative to an endomorphism of an affinoid algebra A. We show that this notion is essentially indep…
Mixed Hodge structures with modulus
Florian Ivorra, Takao Yamazaki
We define a notion of mixed Hodge structure with modulus that generalizes the classical notion of mixed Hodge structure introduced by Deligne and the level one Hodge structures wit…
The arithmetic local Nori fundamental group
M. Romagny, F. Tonini, L. Zhang
In this paper we introduce the local Nori fundamental group scheme of a reduced scheme or algebraic stack over a perfect field . We give particular attention to the case of fiel…
Stability of tangent bundles of complete intersections and effective restriction
Jie Liu
For , let be an -dimensional irreducible Hermitian symmetric space of compact type and let be the ample generator of . Let $Y=H_1\cap…
On regulous and regular images of Euclidean spaces
José Fernando, Goulwen Fichou, Ronan Quarez +1
In this work we compare the semialgebraic subsets that are images of regulous maps with those that are images of regular maps. Recall that a map f : R n R m is regulo…
Arithmetic structures for differential operators on formal schemes
Christine Huyghe, Tobias Schmidt, Matthias Strauch
Let be a complete discrete valuation ring of mixed characteristic and a smooth formal scheme over the formal spectrum of .…