After works by Katz, Monsky, and Adolphson-Sperber, a comparison theorem between relative de Rham cohomology and Dwork cohomology is established in a paper by Dimca-Maaref-Sabbah-Saito in the framework of algebraic D-modules. We propose here an alternative proof of this result. The use of Fourier transform techniques makes our approach more functorial
In order to look for a well-behaved counterpart to Dolbeault cohomology in D-complex geometry, we st...
We prove an analogue of the de Rham theorem for the extended L²-cohomology introduced by M.Farber [F...
We discuss the Hochschild cohomology of the category of D-modules associated to an algebraic stack. ...
After works by Katz, Monsky, and Adolphson-Sperber, a comparison theorem between relative de Rham co...
Abstract. After works by Katz, Monsky, and Adolphson-Sperber, a compar-ison theorem between relative...
This is the revised second edition of the well-received book by the first two authors. It offers a s...
This is the revised second edition of the well-received book by the first two authors. It offers a a...
Let Z be a projective hypersurface over a finite field. With no smoothness assumption, we relate the...
AbstractLet[formula]be a correspondence of complex analytic manifolds,Fbe a sheaf onX, and M be a co...
This paper is devoted to a new proof of the comparison between the derived direct image functor for ...
We prove that algebraic de Rham cohomology as a functor defined on smooth F_p-algebras is formally e...
In this paper, we prove that any perfect complex of $D^{\infty}$-modules may be reconstruct...
Let Y be a smooth algebraic stack exhausted by quotient stacks. Given a Kirwan-Ness stratification o...
For a commutative algebra R, its de Rham cohomology is an important invariant of R. In the paper, an...
We study the structure of D -modules over a ring R which is a direct sum- mand of a polynomial or a ...
In order to look for a well-behaved counterpart to Dolbeault cohomology in D-complex geometry, we st...
We prove an analogue of the de Rham theorem for the extended L²-cohomology introduced by M.Farber [F...
We discuss the Hochschild cohomology of the category of D-modules associated to an algebraic stack. ...
After works by Katz, Monsky, and Adolphson-Sperber, a comparison theorem between relative de Rham co...
Abstract. After works by Katz, Monsky, and Adolphson-Sperber, a compar-ison theorem between relative...
This is the revised second edition of the well-received book by the first two authors. It offers a s...
This is the revised second edition of the well-received book by the first two authors. It offers a a...
Let Z be a projective hypersurface over a finite field. With no smoothness assumption, we relate the...
AbstractLet[formula]be a correspondence of complex analytic manifolds,Fbe a sheaf onX, and M be a co...
This paper is devoted to a new proof of the comparison between the derived direct image functor for ...
We prove that algebraic de Rham cohomology as a functor defined on smooth F_p-algebras is formally e...
In this paper, we prove that any perfect complex of $D^{\infty}$-modules may be reconstruct...
Let Y be a smooth algebraic stack exhausted by quotient stacks. Given a Kirwan-Ness stratification o...
For a commutative algebra R, its de Rham cohomology is an important invariant of R. In the paper, an...
We study the structure of D -modules over a ring R which is a direct sum- mand of a polynomial or a ...
In order to look for a well-behaved counterpart to Dolbeault cohomology in D-complex geometry, we st...
We prove an analogue of the de Rham theorem for the extended L²-cohomology introduced by M.Farber [F...
We discuss the Hochschild cohomology of the category of D-modules associated to an algebraic stack. ...