A theta lift representation for the Kawazumi-Zhang and Faltings invariants of genus-two Riemann surfaces

DOI10.1016/j.jnt.2015.12.021zbMath1408.14096arXiv1504.04182OpenAlexW1894402808WikidataQ57726528 ScholiaQ57726528MaRDI QIDQ5964555

Boris Pioline

Publication date: 29 February 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.04182

zbMATH Keywords

theta liftfaltings invariantholomorphic prepotentialKawazumi-Zhang invariantmock Siegel modular form

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Theta series; Weil representation; theta correspondences (11F27)

Related Items (20)

Tropical amplitudes ⋮ Infrared divergences and harmonic anomalies in the two-loop superstring effective action ⋮ \(D^6 R^4\) curvature corrections, modular graph functions and Poincaré series ⋮ New explicit formulas for Faltings' delta-invariant ⋮ Exact \(\nabla^{4}\mathcal{R}^{4}\) couplings and helicity supertraces ⋮ Modular graph functions and odd cuspidal functions. Fourier and Poincaré series ⋮ Tree-level amplitudes from the pure spinor superstring ⋮ Tetrahedral modular graph functions ⋮ Generating series of all modular graph forms from iterated Eisenstein integrals ⋮ Eigenvalue equation for genus two modular graphs ⋮ String theory integrands and supergravity divergences ⋮ Higher genus modular graph functions, string invariants, and their exact asymptotics ⋮ Two-loop superstring five-point amplitudes. II: Low energy expansion and S-duality ⋮ Erratum to: Relations between elliptic modular graphs ⋮ Integrating simple genus two string invariants over moduli space ⋮ Poisson equation for genus two string invariants: a conjecture ⋮ One-loop matrix elements of effective superstring interactions: \(\alpha^\prime\)-expanding loop integrands ⋮ Poincaré series for modular graph forms at depth two. I: Seeds and Laplace systems ⋮ Néron-Tate heights of cycles on jacobians ⋮ The SAGEX review on scattering amplitudes Chapter 10: Selected topics on modular covariance of type IIB string amplitudes and their N=4 supersymmetric Yang–Mills duals

Cites Work

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