Frobenius-unstable bundles and p-curvature
| dc.creator | Osserman, Brian | |
| dc.date | 2004-09-16 | |
| dc.date.accessioned | 2026-07-07T05:12:10Z | |
| dc.date.available | 2026-07-07T05:12:10Z | |
| dc.description | 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 take two approaches, first using explicit formulas for p-curvature to analyze low-characteristic cases, and then using degeneration techniques to obtain an answer for a general curve by degenerating to an irreducible rational nodal curve, and applying the results of math.AG/0409145 and math.AG/0407445. We also apply our explicit formulas to give a new description of the strata of curves of genus 2 of different p-rank. | |
| dc.description | 32 pages. Contents of Chapters III and VI of PhD thesis, Massachusetts Institute of Technology, 2004 | |
| dc.identifier | https://arxiv.org/abs/math/0409266 | |
| dc.identifier | http://arxiv.org/abs/math/0409266 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72487 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H60 | |
| dc.title | Frobenius-unstable bundles and p-curvature | |
| dc.type | text |