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