Representations of the space of n-theta functions

منو

" Representations of the space of n-theta functions "
Mejía, Israel Moreno

Document Type	:	Latin Dissertation
Record Number	:	828794
Doc. No	:	TLets398561
Main Entry	:	Mejía, Israel Moreno
Title & Author	:	Representations of the space of n-theta functions\ Mejía, Israel Moreno
College	:	Durham University
Date	:	2003
student score	:	2003
Degree	:	Thesis (Ph.D.)
Abstract	:	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.
Added Entry	:	Durham University