5 citations · 11 across the 15 of their papers we have counts for
7 papers · 1 filter
Deformations of covers, Brill-Noether theory, and wild ramification
Brian Osserman
In this paper, we give a simple description of the deformations of a map between two smooth curves with partially prescribed branching, in the cases that both curves are fixed, and…
The generalized Verschiebung map for curves of genus 2
Brian Osserman
Let C be a smooth curve, and M_r(C) the coarse moduli space of vector bundles of rank r and trivial determinant on C. We examine the generalized Verschiebung map V_r: M_r(C^(p)) --…
Mochizuki's crys-stable bundles: a lexicon and applications
Brian Osserman
Mochizuki's work on torally crys-stable bundles has extensive implications for the theory of logarithmic connections on vector bundles of rank 2 on curves, once the language is tra…
Frobenius-unstable bundles and p-curvature
Brian Osserman
We use the theory of p-curvature of connections to analyze stable vector bundles of rank 2 on curves of genus 2 which pull back to unstable bundles under the Frobenius morphism. We…
Logarithmic connections with vanishing p-curvature
Brian Osserman
We examine logarithmic connections with vanishing p-curvature on smooth curves by studying their kernels, describing them in terms of formal local decomposition. We then apply our…
A limit linear series moduli scheme
Brian Osserman
We develop a new, more functorial construction for the basic theory of limit linear series, which provides a compactification of the Eisenbud-Harris theory, and shows promise for g…