Theta functions on the theta divisor

DOI10.1216/RMJ-2010-40-1-155zbMath1191.14054arXivmath/0611810MaRDI QIDQ968579

Robin de Jong

Publication date: 5 May 2010

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611810

zbMATH Keywords

Riemann theta functionabelian varietiesGauss mapmodular formsJacobianstheta divisordirectional derivatives

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Jacobians, Prym varieties (14H40) Theta functions and abelian varieties (14K25) Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Automorphic forms, one variable (11F12) Theta functions and curves; Schottky problem (14H42)

Related Items (3)

New explicit formulas for Faltings' delta-invariant ⋮ A generalization of Jacobi's derivative formula to dimension two, II ⋮ On the Schottky problem for genus five Jacobians with a vanishing theta null

Cites Work

• Jacobians with a vanishing theta-null in genus 4
• Complex abelian varieties and theta functions
• On directional derivatives of the theta function along its divisor
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Theta functions on Riemann surfaces
• Arakelov invariants of Riemann surfaces
• A generalization of Jacobi's derivative formula to dimension two.
• Le lieu des variétés abéliennes dont le diviseur thêta est singulier a deux composantes
• Singularities of the Theta Divisor at Points of Order Two
• FAMILIES OF ALGEBRAIC CURVES WITH FIXED DEGENERACIES

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