Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Bitoun, Thomas"'
Autor:
Bitoun, Thomas
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 of 1/f and describe it in terms of the pole order filtration on the d
Externí odkaz:
http://arxiv.org/abs/2307.00120
Autor:
Bitoun, Thomas, Desrochers, Justin
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, short proof of that classical characteristic zero result, by reductio
Externí odkaz:
http://arxiv.org/abs/2201.04606
Autor:
Bitoun, Thomas, Bode, Andreas
We investigate when a meromorphic connection on a smooth rigid analytic variety $X$ gives rise to a coadmissible $\mathcal{D}_X$-cap-module, and show that this is always the case when the roots of the corresponding $b$-functions are all of positive t
Externí odkaz:
http://arxiv.org/abs/1812.05000
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 relations are obtained from parametric annihilators of the Lee-Pomeransky
Externí odkaz:
http://arxiv.org/abs/1809.03399
Publikováno v:
Letters in Mathematical Physics 109(3), pp. 497--564, March 2019
We study shift relations between Feynman integrals via the Mellin transform through parametric annihilation operators. These contain the momentum space IBP relations, which are well-known in the physics literature. Applying a result of Loeser and Sab
Externí odkaz:
http://arxiv.org/abs/1712.09215
Autor:
Bitoun, Thomas
Let $D$ be the ring of Grothendieck differential operators of the ring $R$ of polynomials in $d\geq3$ variables with coefficients in a perfect field of positive characteristic $p.$ We compute the $D$-module length of the first local cohomology module
Externí odkaz:
http://arxiv.org/abs/1706.02843
Autor:
Bitoun, Thomas, Schedler, Travis
Publikováno v:
Compositio Mathematica 154 (2018), no. 11, 2426-2440
Let f be a quasi-homogeneous polynomial with an isolated singularity. We compute the length of the D-modules $Df^c/Df^{c+1}$ generated by complex powers of f in terms of the Hodge filtration on the top cohomology of the Milnor fiber. For 1/f we obtai
Externí odkaz:
http://arxiv.org/abs/1606.07761
Autor:
Bitoun, Thomas
Publikováno v:
Selecta Mathematica New Ser. (2018) 24: 3501-3528
We present a theory of the $b$-function (or Bernstein-Sato polynomial) in positive characteristic. Let $f$ be a non-constant polynomial with coefficients in a perfect field $k$ of characteristic $p>0.$ Its $b$-function $b_f$ is defined to be an ideal
Externí odkaz:
http://arxiv.org/abs/1501.00185
Autor:
Bitoun, Thomas
For a smooth variety $Y$ over a perfect field of positive characteristic, the sheaf $D_Y$ of crystalline differential operators on $Y$ (also called the sheaf of $PD$-differential operators) is known to be an Azumaya algebra over $T^*_{Y'},$ the cotan
Externí odkaz:
http://arxiv.org/abs/1012.4081
Autor:
Bitoun, Thomas, Desrochers, Justin
Publikováno v:
IMRN: International Mathematics Research Notices; Jun2023, Vol. 2023 Issue 11, p9795-9798, 4p