148 citations
- Centre National de la Recherche ScientifiqueFR11 papers
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20 papers · 1 filter
Foliations on the moduli space of rank two connections on the projective line minus four points
Frank Loray, Masa-Hiko Saito, Carlos T. Simpson
We look at natural foliations on the Painlevé VI moduli space of regular connections of rank 2 on $\pp ^1 -{t_1,t_2,t_3,t_4}$. These foliations are fibrations, and are interpreted…
The Milnor fibre of the Pfaffian and the Hilbert scheme of four points on C^3
Alexandru Dimca, Balazs Szendroi
We study a natural Hodge module on the Hilbert scheme of four points on affine three-space, which categorifies the Donaldson--Thomas invariant of the Hilbert scheme. We determine t…
The implicit equation of a canal surface
Marc Dohm, Severinas Zube
A canal surface is an envelope of a one parameter family of spheres. In this paper we present an efficient algorithm for computing the implicit equation of a canal surface generate…
A canonical Frobenius structure
Antoine Douai
We show that it makes sense to speak of THE Frobenius manifold attached to a convenient and nondegenerate Laurent polynomial
Intersection homology D-Modules and Bernstein polynomials associated with a complete intersection
Tristan Torrelli
Let X be a complex analytic manifold. Given a closed subspace of pure codimension p>0, we consider the sheaf of local algebraic cohomology , and…
Regulators of canonical extensions are torsion: the smooth divisor case
Jaya N. Iyer, Carlos T. Simpson
In this paper, we prove a generalization of Reznikov's theorem which says that the Chern-Simons classes and in particular the Deligne Chern classes (in degrees ) are torsion, o…