1 citations · 1 across the 8 of their papers we have counts for
9 papers
M-modules
Bernard Le Stum
We consider the ring M of column-finite matrices with integer coefficients. We prove that M-modules form an additive closed symmetric monoidal abelian category that essentially con…
Rigid cohomology of locally noetherian schemes Part 2 : Crystals
Bernard Le Stum
We introduce the general notions of an overconvergent site and a constructible crystal on an overconvergent site. We show that if is a geometric materialization of a locally no…
Twisted differential operators of negative level and prismatic crystals
Michel Gros, Bernard Le Stum, Adolfo Quirós
We introduce twisted differential calculus of negative level and prove a descent theorem: Frobenius pullback provides an equivalence between finitely presented modules endowed with…
Twisted divided powers and applications
Michel Gros, Bernard Le Stum, Adolfo Quirós
In order to give a formal treatment of differential equations in positive characteristic p, it is necessary to use divided powers. One runs into an analog problem in the theory of…
Twisted calculus
Bernard Le Stum, Adolfo Quirós
A twisted ring is a ring endowed with a family of endomorphisms satisfying certain relations. One may then consider the notions of twisted module and twisted differential module. W…
Constructible nabla-modules on curves
Bernard Le Stum
Let be a discrete valuation ring of mixed characteristic with perfect residue field. Let be a geometrically connected smooth proper curve over . We int…