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$𝒟$ -modules arithmétiques. II: Descente par Frobenius

Pierre Berthelot (2000)

Mémoires de la Société Mathématique de France

$𝒟$ -modules micro-localement libres de rang 1 et connexions non-intégrables en dimension 2

Matthieu Carette (2002)

Annales de l’institut Fourier

Dans un article sur la transformation de Radon-Penrose, A. D’Agnolo et P. Schapira ont montré qu’au-dessus d’une variété complexe $X$ de dimension $\geq 3$ , tout $\hat{ℰ}$ - module localement libre de rang $1$ est de la forme $\hat{ℰ} \otimes_{π^{- 1} 𝒪} π^{- 1} ℒ$ pour un fibré inversible $ℒ$ sur $X$ . Ce résultat est faux en dimension $2$ , et le but de ce travail est de déterminer la structure des $𝒟$ - modules micro-localement libres de rang $1$ dans ce cas. Un des principaux résultat est la description des $𝒟$ -modules micro-localement libres de rang un en termes...

A $C^{\infty}$ logarithmic Dolbeault complex

José Ignacio Burgos (1994)

Compositio Mathematica

A Riemann-Roch-Hirzebruch formula for traces of differential operators

Markus Engeli, Giovanni Felder (2008)

Annales scientifiques de l'École Normale Supérieure

Let $D$ be a holomorphic differential operator acting on sections of a holomorphic vector bundle on an $n$ -dimensional compact complex manifold. We prove a formula, conjectured by Feigin and Shoikhet, giving the Lefschetz number of $D$ as the integral over the manifold of a differential form. The class of this differential form is obtained via formal differential geometry from the canonical generator of the Hochschild cohomology $H H^{2 n} (𝒟_{n}, 𝒟_{n}^{*})$ of the algebra of differential operators on a formal neighbourhood of a...

Algebraic study of systems of partial differential equations

Masaki Kashiwara (1997)

Bulletin de la Société Mathématique de France

Algebraic study of systems of partial differential equations

Masaki Kashiwara (1995)

Mémoires de la Société Mathématique de France

An analogue of holonomic $D$ -modules on smooth varieties in positive characteristics.

Bögvad, Rikard (2002)

Homology, Homotopy and Applications

An elementary theory of hyperfunctions and microfunctions

Hikosaburo Komatsu (1992)

Banach Center Publications

Basic covariant differential operators on hermitian symmetric spaces

Hans Plesner Jakobsen (1985)

Annales scientifiques de l'École Normale Supérieure

Bernstein-Gelfand-Gelfand reciprocity on perverse sheaves

R. Mirollo, K. Vilonen (1987)

Annales scientifiques de l'École Normale Supérieure

Boundary values, Fourier-Sato transform and Laplace transform.

Schapira, P. (1998)

Portugaliae Mathematica

Classes caractéristiques et théorèmes d'indice : point de vue microlocal

Claude Sabbah (1995/1996)

Séminaire Bourbaki

Classification of $𝔻$ -modules with regular singularities along normal crossings

M. G. M. Van Doorn (1986)

Compositio Mathematica

Comparaison des facteurs duaux des isocristaux surconvergents

Daniel Caro (2005)

Rendiconti del Seminario Matematico della Università di Padova

Comparing modules of differential operators by their evaluation on polynomials

Herwig Hauser (1989)

Compositio Mathematica

Conic sheaves on subanalytic sites and Laplace transform

Luca Prelli (2011)

Rendiconti del Seminario Matematico della Università di Padova

Continuous division of differential operators

Herwig Hauser, Luis Narváez-Macarro (2001)

Annales de l’institut Fourier

In this paper, we give a new proof of the continuity of division by differential operators with analytic coefficients, originally proved by Mebkhout and the second author. Our methods come from the proof of the Constant Rank Theorem for analytic maps between power series spaces, given by Müller and the first author.

Currently displaying 1 – 20 of 105

Page 1 Next

Displaying 1 – 20 of 105

$𝒟$ -modules arithmétiques. II: Descente par Frobenius

$𝒟$ -modules micro-localement libres de rang 1 et connexions non-intégrables en dimension 2

A $C^{\infty}$ logarithmic Dolbeault complex

A Riemann-Roch-Hirzebruch formula for traces of differential operators

Algebraic study of systems of partial differential equations

Algebraic study of systems of partial differential equations

An analogue of holonomic $D$ -modules on smooth varieties in positive characteristics.

An elementary theory of hyperfunctions and microfunctions

Basic covariant differential operators on hermitian symmetric spaces

Bernstein-Gelfand-Gelfand reciprocity on perverse sheaves

Boundary values, Fourier-Sato transform and Laplace transform.

Classes caractéristiques et théorèmes d'indice : point de vue microlocal

Classification of $𝔻$ -modules with regular singularities along normal crossings

Comparaison des facteurs duaux des isocristaux surconvergents

Comparing modules of differential operators by their evaluation on polynomials

Conic sheaves on subanalytic sites and Laplace transform

Continuous division of differential operators

Coomologia e forme differenziali sugli spazi analitici complessi

Correspondance de $D$ -modules et transformation de Penrose

Covariant differential operators.

Currently displaying 1 – 20 of 105