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Durham e-Theses
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Representations of the space of n-theta functions

Mejía, Israel Moreno (2003) Representations of the space of n-theta functions. Doctoral thesis, Durham University.



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.

Item Type:Thesis (Doctoral)
Award:Doctor of Philosophy
Thesis Date:2003
Copyright:Copyright of this thesis is held by the author
Deposited On:26 Jun 2012 15:20

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