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A Theta lift representation for the Kawazumi-Zhang and Faltings invariants of genus-two Riemann surfaces
The Kawazumi-Zhang invariant $\varphi$ for compact genus-two Riemann surfaces was recently shown to be a eigenmode of the Laplacian on the Siegel upper half-plane, away from the separating degeneration divisor. Using this fact and the known behavior of $\varphi$ in the non-separating degeneration li...
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| Lenguaje: | eng |
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2015
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| Acceso en línea: | https://dx.doi.org/10.1016/j.jnt.2015.12.021 http://cds.cern.ch/record/2010408 |