Flat rank two vector bundles on genus two curves / / Viktoria Heu, Frank Loray
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| Autore: |
Heu Viktoria (1982-)
|
| Titolo: |
Flat rank two vector bundles on genus two curves / / Viktoria Heu, Frank Loray
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [2019] |
| ©2019 | |
| Descrizione fisica: | 1 online resource (v, 103 pages) |
| Disciplina: | 514.224 |
| Soggetto topico: | Fiber bundles (Mathematics) |
| Curves, Algebraic | |
| Persona (resp. second.): | LorayFrank |
| Note generali: | "Volume 259, number 1247 (fourth of 8 numbers)." |
| Nota di bibliografia: | Includes bibliographical references. |
| Sommario/riassunto: | "We study the moduli space of trace-free irreducible rank 2 connections over a curve of genus 2 and the forgetful map towards the moduli space of underlying vector bundles (including unstable bundles), for which we compute a natural Lagrangian rational section. As a particularity of the genus 2 case, connections as above are invariant under the hyperelliptic involution: they descend as rank 2 logarithmic connections over the Riemann sphere. We establish explicit links between the well-known moduli space of the underlying parabolic bundles with the classical approaches by Narasimhan-Ramanan, Tyurin and Bertram. This allows us to explain a certain number of geometric phenomena in the considered moduli spaces such as the classical (16, 6)-configuration of the Kummer surface. We also recover a Poincarape family due to Bolognesi on a degree 2 cover of the Narasimhan-Ramanan moduli space. We explicitly compute the Hitchin integrable system on the moduli space of Higgs bundles and compare the Hitchin Hamiltonians with those found by van Geemen-Previato. We explicitly describe the isomonodromic foliation in the moduli space of vector bundles with sl2-connection over curves of genus 2 and prove the transversality of the induced flow with the locus of unstable bundles"-- |
| Titolo autorizzato: | Flat rank two vector bundles on genus two curves |
| ISBN: | 1-4704-5249-9 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910793618803321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 259, Number 1247.