4 citations · 7 across the 2 of their papers we have counts for
7 papers · 1 filter
On Frobenius-destabilized rank-2 vector bundles over curves
Herbert Lange, Christian Pauly
Let X be a smooth projective curve of genus g \geq 2 over an algebraically closed field k of characteristic p > 0. Let M_X be the moduli space of semistable rank-2 vector bundles o…
On cubics and quartics through a canonical curve
Christian Pauly
We construct families of quartic and cubic hypersurfaces through a canonical curve, which are parametrized by an open subset in a Grassmannian and a Flag variety respectively. Usin…
The Frobenius map, rank 2 vector bundles and Kummer's quartic surface in characteristic 2 and 3
Yves Laszlo, Christian Pauly
Let X be a smooth projective curve of genus g>1 defined over an algebraically closed field k of characteristic p>0. Let M_X(r) be the moduli space of semi-stable rank r vector bund…
Self-duality of Coble's quartic hypersurface and applications
Christian Pauly
The moduli space M_0 of semi-stable rank 2 vector bundles with fixed trivial determinant over a non-hyperelliptic curve C of genus 3 is isomorphic to a quartic hypersurface in P^7…
On the Hitchin morphism in positive characteristic
Yves Laszlo, Christian Pauly
Let X be a smooth projective curve over a field of characteristic p>0. We show that the Hitchin morphism, which associates to a Higgs bundle its characteristic polynomial, has a no…
The action of the Frobenius map on rank 2 vector bundles in characteristic 2
Yves Laszlo, Christian Pauly
Let be an ordinary smooth curve defined over an algebraically closed field of characteristic 2. The absolute Frobenius induces a rational map on the moduli space of r…