On the Linear Independence of Certain Theta-Series.
A geometrical approach to the theory of Jacobi forms
Jacobiformen und Thetareihen.
Über die Fermat-Vermutung.
Arithmetic characteristic classes of automorphic vector bundles.
Effective bounds for Faltings’s delta function
In his seminal paper on arithmetic surfaces Faltings introduced a new invariant associated to compact Riemann surfaces , nowadays called Faltings’s delta function and here denoted by . For a given compact Riemann surface of genus , the invariant is roughly given as minus the logarithm of the distance with respect to the Weil-Petersson metric of the point in the moduli space of genus curves determined by to its boundary . In this paper we begin by revisiting a formula derived in [14],...
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