activity
20032023
most citedHodge theory of the middle convolution

39 citations · 118 across the 17 of their papers we have counts for

collaborators

20 papers

math.NT2023

On Galois realizations of special linear groups

Michael Dettweiler, Stefan Reiter

We study the determinant of certain etale sheaves constructed via middle convolution in order to realize special linear groups regularly as Galois groups over the rationals.

math.AG2023

Monodromy of the Radon transform

Meirav Amram, Michael Dettweiler, Stefan Reiter

We algorithmically determine the monodromy of the local system on the smooth part of the Radon transformation of a generic simple perverse sheaf on the projective plane.

math.AG2018

On the Hodge theory of the additive middle convolution

Michael Dettweiler, Stefan Reiter

We compute the behaviour of Hodge data under additive middle convolution for irreducible variations of polarized complex Hodge structures on punctured complex affine lines.

math.AG2018

Monodromy of elliptic curve convolution, seven-point sheaves of -type and motives of Beauville type

Benjamin Collas, Michael Dettweiler, Stefan Reiter +1

We study the Tannakian properties of the category of perverse sheaves on elliptic curves endowed with the convolution product. We establish that for certain sheaves with unipotent…

math.AG2015

Vector bundles on curves coming from Variation of Hodge Structures

Fabrizio Catanese, Michael Dettweiler

Fujita's second theorem for Kähler fibre spaces over a curve asserts that the direct image of the relative dualizing sheaf splits as the direct sum , where …

math.AG2015

On the -adic Fourier transform and the determinant of the middle convolution

Michael Dettweiler

We study the relation of the middle convolution to the -adic Fourier transformation in the étale context. Using Katz' work and Laumon's theory of local Fourier transformation…