Theta Functions with Applications to Riemann Surfaces |
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Contents
Chapter | 3 |
Theta indices and theta identities | 19 |
to Chapter II | 55 |
Copyright | |
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Common terms and phrases
2-theta a₁ Abel's theorem abelian differentials analytic azygetic set base point branch points C₁ canonical homology basis Chapter compact Riemann surface complex compute congruence Corollary cycle d₁ defined Definition denote derive divisor double zeros elements equations Farkas follows fundamental group fundamental set g-vectors genus g given h₁ Hence holomorphic hyperelliptic surface implies indices integral K(Po Lemma linear Math Max Noether meromorphic meromorphic function moduli n₁ N₂ normal observe obtain odd thetas order theta P₁ P₂ particular period matrix period relations principal set proof of Theorem prove quadratic differentials R₁ reduced characteristic respect Riemann theta Riemann theta functions Riemann-Roch Riemann-Roch theorem Schottky-type relations Section set of half-periods Sp(g surface of genus syzygetic t₁ theory theta constants theta function theta matrix two-sheeted uniform products vanish identically vector Weierstrass points δι ε ε