Linear relations among holomorphic quadratic differentials and induced Siegel's metric on $\mathcal {M}_g$Mg

DOI10.1063/1.3653550zbMath1272.81164arXivmath/0506550OpenAlexW2056806566MaRDI QIDQ2851734

Roberto Volpato, Marco Matone

Publication date: 2 October 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506550

zbMATH Keywords

Kodaira-Spencer mapSiegel metric

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Quantum field theory on curved space or space-time backgrounds (81T20) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Holomorphic maps on manifolds (58C10)

Related Items (3)

Singular spin structures and superstrings ⋮ Extending the Belavin-Knizhnik ``wonderful formula by the characterization of the Jacobian ⋮ Vector-valued modular forms from the Mumford forms, Schottky-Igusa form, product of Thetanullwerte and the amazing Klein formula

Cites Work

• Unnamed Item
• Quadrics of rank four in the ideal of a canonical curve
• On a set of equations characterizing Riemann matrices
• Higher genus superstring amplitudes from the geometry of moduli space
• Characterization of Jacobian varieties in terms of soliton equations
• Another proof of a conjecture of S. P. Novikov on periods of Abelian integrals on Riemann surfaces
• Fermionic fields on \({\mathbb{Z}}_ N\)-curves
• Some curves in Abelian varieties
• Prym varieties and Schottky problem
• Integration of nonlinear equations by the methods of algebraic geometry
• The red book of varieties and schemes. Includes the Michigan lectures (1974) on ``Curves and their Jacobians.
• A characterization of non-hyperelliptic Jacobi varieties
• The bosonic string measure at two and three loops and symplectic transformations of the volume form
• Period relations of Schottky type on Riemann surfaces
• Die Differentialgleichungen in der Theorie der Siegelschen Modulfunktionen. (The differential equations in the theory of Siegel's modular functions)
• Siegel Modular Forms and Their Applications
• Theta functions and non-linear equations

This page was built for publication: Linear relations among holomorphic quadratic differentials and induced Siegel's metric on $\mathcal {M}_g$Mg