18 citations · 54 across the 27 of their papers we have counts for
32 papers
Hitchin map for the moduli space of -modules in positive characteristic
David Alfaya, Christian Pauly
Building on Simpson's original definition over the complex numbers, we introduce the notion of restricted sheaf of rings of differential operators on a variety defined over a f…
Parabolic opers and differential operators
Indranil Biswas, Niels Borne, Sorin Dumitrescu +2
Parabolic SL(r,C)-opers were defined and investigated in [BDP] in the set-up of vector bundles on curves with a parabolic structure over a divisor. Here we introduce and study holo…
Infinitesimal deformations of parabolic connections and parabolic opers
Indranil Biswas, Sorin Dumitrescu, Sebastian Heller +1
We compute the infinitesimal deformations of quadruples , where is a compact Riemann surface with marked points, is a parabolic vector bundle on…
The Hitchin connection in arbitrary characteristic
Thomas Baier, Michele Bolognesi, Johan Martens +1
We give an algebro-geometric construction of the Hitchin connection, valid also in positive characteristic (with a few exceptions). A key ingredient is a substitute for the Narasim…
Parabolic SL(r)-opers
Indranil Biswas, Sorin Dumitrescu, Christian Pauly
We define SL(r)-opers in the set-up of vector bundles on curves with a parabolic structure over a divisor. Basic properties of these objects are investigated.
Opers of higher types, Quot-schemes and Frobenius instability loci
Kirti Joshi, Christian Pauly
In this paper we continue our study of the Frobenius instability locus in the coarse moduli space of semi-stable vector bundles of rank and degree over a smooth projective…