12 citations · 45 across the 13 of their papers we have counts for
13 papers
Gevrey expansions of hypergeometric integrals II
Francisco-Jesús Castro-Jiménez, María-Cruz Fernández-Fernández, Michel Granger
We study integral representations of the Gevrey series solutions of irregular hypergeometric systems under certain assumptions. We prove that, for such systems, any Gevrey series s…
Deforming monomial space curves into set-theoretic complete intersection singularities
Michel Granger, Mathias Schulze
We deform monomial space curves in order to construct examples of set-theoretical complete intersection space curve singularities. As a by-product we describe an inverse to Herzog'…
Smooth critical points of planar harmonic mappings
M. El Amrani, M. Granger, J. -J. Loeb +1
In a work in 1992, Lyzzaik studies local properties of light harmonic mappings. More precisely, he classifies their critical points and accordingly studies their topological and ge…
Derivations of negative degree on quasihomogeneous isolated complete intersection singularities
Michel Granger, Mathias Schulze
J. Wahl conjectured that every quasihomogeneous isolated normal singularity admits a positive grading for which there are no derivations of negative weighted degree. We confirm his…
Quasihomogeneity of curves and the Jacobian endomorphism ring
Michel Granger, Mathias Schulze
We give a quasihomogeneity criterion for Gorenstein curves. For complete intersections, it is related to the first step of Vasconcelos' normalization algorithm. In the process, we…
Normal crossing properties of complex hypersurfaces via logarithmic residues
Michel Granger, Mathias Schulze
We introduce a dual logarithmic residue map for hypersurface singularities and use it to answer a question of Kyoji Saito. Our result extends a theorem of Lê and Saito by an algebr…
Partial normalizations of Coxeter arrangements and discriminants
Michel Granger, David Mond, Mathias Schulze
We study natural partial normalization spaces of Coxeter arrangements and discriminants and relate their geometry to representation theory. The underlying ring structures arise fro…
Free divisors in prehomogeneous vector spaces
Michel Granger, David Mond, Mathias Schulze
We study linear free divisors, that is, free divisors arising as discriminants in prehomogeneous vector spaces, and in particular in quiver representation spaces. We give a charact…
On the symmetry of b-functions of linear free divisors
Michel Granger, Mathias Schulze
We introduce the concept of a prehomogeneous determinant as a nonreduced version of a linear free divisor. Both are special cases of prehomogeneous vector spaces. We show that the…
Initial logarithmic Lie algebras of hypersurface singularities
Michel Granger, Mathias Schulze
We introduce a Lie algebra of initial terms of logarithmic vector fields along a hypersurface singularity. Extending the formal structure theorem in [GS06, Thm. 5.4], we show that…
Linear free divisors and the global logarithmic comparison theorem
Michel Granger, David Mond, Alicia Nieto-Reyes +1
A complex hypersurface D in complex affine n-space C^n is a linear free divisor (LFD) if its module of logarithmic vector fields has a global basis of linear vector fields. We clas…
Quasihomogeneity of isolated singularities and logarithmic cohomology
Michel Granger, Mathias Schulze
We characterize quasihomogeneity of isolated singularities by the injectivity of the map induced by the first differential of the logarithmic differential complex in the top local…
On the formal structure of logarithmic vector fields
Michel Granger, Mathias Schulze
In this article, we prove that a free divisor in a three dimensional complex manifold must be Euler homogeneous in a strong sense if the cohomology of its complement is the hyperco…