9 citations · 22 across the 9 of their papers we have counts for
9 papers
Absolute calculus and prismatic crystals on cyclotomic rings
Michel Gros, Bernard Le Stum, Adolfo Quirós
Let be a prime, the ring of Witt vectors of a perfect field of characteristic and a primitive th root of unity. We introduce a new notion of calculus over $W…
Cartier transform and prismatic crystals
Michel Gros, Bernard Le Stum, Adolfo Quirós
We show that the abstract equivalence of categories, called Cartier transform, between crystals on the q-crystalline and prismatic sites can be locally identified with the explicit…
Twisted differential operators and -crystals
Michel Gros, Bernard Le Stum, Adolfo Quirós
We discuss the notion of a q-PD-envelope considered by Bhatt and Scholze in their recent theory of q-crystalline cohomology and explain the relation with our notion of a divided po…
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…
Rigid cohomology of locally noetherian schemes Part 1 : Geometry
Bernard Le Stum
We set up the geometric background necessary to extend rigid cohomology from the case of algebraic varieties to the case of general locally noetherian formal schemes. In particular…
Constructible isocrystals
Bernard Le Stum
We introduce a new category of coefficients for p-adic cohomology called constructible isocrystals. Conjecturally, the category of constructible isocrystals endowed with a Frobeniu…
Formal confluence of quantum differential operators
Bernard Le Stum, Adolfo Quirós
We prove that a usual differential operator is formally the limit of quantum differential operators. For this purpose, we introduce the notion of twisted differential operator of i…
On quantum state of numbers
Bernard Le Stum, Adolfo Quirós
We introduce the notions of quantum characteristic and quantum flatness for arbitrary rings. More generally, we develop the theory of quantum integers in a ring and show that the h…
Une neutralisation explicite de l'algèbre de Weyl quantique complétée
Michel Gros, Bernard Le Stum
We show the existence of neutralizations of various completions of the quantic Weyl algebra specialized in a primitive unit root of prime order p.