Regularity for elliptic pairs over
Residues and Principal Values on Complex Spaces.
Riemann-Roch for weakly-equivariant D-modules II.
Slopes of hypergeometric systems of codimension one.
We describe the slopes, with respect to the coordinates hyperplanes, of the hypergeometric systems of codimension one, that is when the toric ideal is generated by one element.
Sobolev cohomology for locally polycylindrical domains.
Some functorial properties of microlocalization for 𝓓-modules
Stratified Whitney jets and tempered ultradistributions on the subanalytic site
In this paper we introduce the sheaf of stratified Whitney jets of Gevrey order on the subanalytic site relative to a real analytic manifold . Then, we define stratified ultradistributions of Beurling and Roumieu type on . In the end, by means of stratified ultradistributions, we define tempered-stratified ultradistributions and we prove two results. First, if is a real surface, the tempered-stratified ultradistributions define a sheaf on the subanalytic site relative to . Second, the tempered-stratified...
Sur la conjugaison de Kashiwara pour une classe de connexions méromorphes irrégulières
Temperate holomorphic solutions and regularity of holonomic D-modules on curves
Tempered solutions of -modules on complex curves and formal invariants
Let be a complex analytic curve. In this paper we prove that the subanalytic sheaf of tempered holomorphic solutions of -modules on induces a fully faithful functor on a subcategory of germs of formal holonomic -modules. Further, given a germ of holonomic -module, we obtain some results linking the subanalytic sheaf of tempered solutions of and the classical formal and analytic invariants of .
Teoria dei fasci e trasformazioni integrali per -moduli tra varietà di Grassmann
Testing the logarithmic comparison theorem for free divisors.
The Cauchy problem with logarithmic ramifications for -modules
The characteristic variety of a generic foliation
We confirm a conjecture of Bernstein–Lunts which predicts that the characteristic variety of a generic polynomial vector field has no homogeneous involutive subvarieties besides the zero section and subvarieties of fibers over singular points.
The direct image theorem in formal and rigid geometry.
The invariant holonomic system on a semisimple Lie algebra.
The trace formula for equivariant D-modules and perverse sheaves.
The use of D-modules to study exponential polynomials
This is a summary of recent work where we introduced a class of D-modules adapted to study ideals generated by exponential polynomials.
Transformation de Fourier géométrique
Truncated microsupport and holomorphic solutions of D-modules