77 citations · 90 across the 9 of their papers we have counts for
10 papers
Bernstein-Sato theory modulo
Thomas Bitoun, Eamon Quinlan-Gallego
For fixed prime integer we develop a notion of Bernstein-Sato polynomial for polynomials with -coefficients, compatible with existing theory in the case $…
On the D-module of an isolated singularity
Thomas Bitoun
Let Z be the germ of a complex hypersurface isolated singularity of equation f, with Z at least of dimension 2. We consider the family of analytic D-modules generated by the powers…
On centralizers in Azumaya domains
Thomas Bitoun, Justin Desrochers
We prove a positive characteristic analogue of the classical result that the centralizer of a nonconstant differential operator in one variable is commutative. This leads to a new,…
Extending meromorphic connections to coadmissible D-cap-modules
Thomas Bitoun, Andreas Bode
We investigate when a meromorphic connection on a smooth rigid analytic variety gives rise to a coadmissible -cap-module, and show that this is always the case w…
The number of master integrals as Euler characteristic
Thomas Bitoun, Christian Bogner, René Pascal Klausen +1
We give a brief introduction to a parametric approach for the derivation of shift relations between Feynman integrals and a result on the number of master integrals. The shift rela…
Feynman integral relations from parametric annihilators
Thomas Bitoun, Christian Bogner, Rene Pascal Klausen +1
We study shift relations between Feynman integrals via the Mellin transform through parametric annihilation operators. These contain the momentum space IBP relations, which are wel…
Length of local cohomology in positive characteristic and ordinarity
Thomas Bitoun
Let be the ring of Grothendieck differential operators of the ring of polynomials in variables with coefficients in a perfect field of positive characteristic …
On D-modules related to the b-function and Hamiltonian flow
Thomas Bitoun, Travis Schedler
Let f be a quasi-homogeneous polynomial with an isolated singularity. We compute the length of the D-modules generated by complex powers of f in terms of the Hodge…
On a theory of the -function in positive characteristic
Thomas Bitoun
We present a theory of the -function (or Bernstein-Sato polynomial) in positive characteristic. Let be a non-constant polynomial with coefficients in a perfect field of…
On the -supports of a holonomic -module
Thomas Bitoun
For a smooth variety over a perfect field of positive characteristic, the sheaf of crystalline differential operators on (also called the sheaf of -differential o…