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Title: Representations of the space of n-theta functions
Author: Mejía, Israel Moreno
ISNI:       0000 0001 3392 7556
Awarding Body: Durham University
Current Institution: Durham University
Date of Award: 2003
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Let X be a smooth complex projective curve with group of automorphisms G. In this thesis we apply the Holomorphic Lefschetz Theorem in certain cases to compute the decomposition of the space H (J(_x),O(_n)O)) into a sum of irreducible representations of G, where J(_x) is the Jacobian variety of X and O(O) is the theta line bundle of J(_x). Namely we compute this decomposition in the cases when X is the Klein quartic curve, the Bring curve of genus 4 and the Macbeath curve of genus 7.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available