83 citations · 639 across the 50 of their papers we have counts for
4 papers · 1 filter
Kontsevich's conjecture on an algebraic formula for vanishing cycles of local systems
Claude Sabbah, Morihiko Saito
For a local system and a function on a smooth complex algebraic variety, we give a proof of a conjecture of M. Kontsevich on a formula for the vanishing cycles using the twisted de…
Hodge theory of the middle convolution
Michael Dettweiler, Claude Sabbah
We compute the behaviour of Hodge data by tensor product with a unitary rank-one local system and middle convolution by a Kummer unitary rank-one local system for an irreducible va…
On the de Rham complex of mixed twistor D-modules
Teresa Monteiro Fernandes, Claude Sabbah
Given a complex manifold S, we introduce for each complex manifold X a t-structure on the bounded derived category of C-constructible complexes of O_S-modules on X x S. We prove th…
Wild Hodge theory and Hitchin-Kobayashi correspondence [after T. Mochizuki]
Claude Sabbah
T. Mochizuki constructs a theory of variations of wild Hodge structure for which the underlying flat connection can have irregular singularities at infinity. He extends in this way…