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Riemann surfaces(Riemannian surfaces) is one dimensional complex manifold. For questions about classical examples in complex analysis, complex geometry, surface topology.
1
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Teichmuller modular forms and number theory
Marco Matone, Roberto Volpato,
Vector-Valued Modular Forms from the Mumford Form, Schottky-Igusa Form, Product of Thetanullwerte and the Amazing Klein Formula, Proc. Amer. Math. Soc. 141 (2013), …
12
votes
Teichmuller modular forms and number theory
$$\hbox{Vector-valued Teichmueller Modular forms}$$
Vector-valued Siegel
modular forms are the natural generalization of the classical elliptic
modular forms as seen by studying the cohomology of the …