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Moduli of vector bundles in characteristic 2
Author(s) -
Bhosle Usha N.
Publication year - 2003
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310049
Subject(s) - mathematics , algebraically closed field , moduli space , pure mathematics , genus , rank (graph theory) , vector bundle , invertible matrix , combinatorics , botany , biology
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.