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Moduli of vector bundles in characteristic 2

✍ Scribed by Usha N. Bhosle

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
250 KB
Volume
254-255
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

Let X be a nonsingular curve of genus 2 over an algebraically closed field of characteristic 2. We show that the moduli space of semistable rank two vector bundles with a fixed determinant of even degree on X is isomorphic to the three dimensional projective space. We prove results on orthogonal and spin bundles on hyperelliptic curves generalising this result.

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