5 citations · 17 across the 21 of their papers we have counts for
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Schwarz maps for modular curves
Yaacov Kopeliovich, Camilo Sanabria Malagón
We solve a classical problem posed by F. Klein and studied by A. Hurwitz concerning the construction of linear ordinary differential equations associated with modular transformatio…
-Adic Functions for Cyclic Mumford Curve
Yaacov Kopeliovich
We express the branch points cross ratio of cyclic Mumford curves as quotients of -adic theta functions evaluated at the p-adic period matrix
Igusa's map on modular forms vanishing on the hyperelliptic locus
J Bernatska, Y Kopeliovich
We extend Igusa's map to modular forms which vanish on the hyperelliptic locus of the Siegel upper half-plane. The lowest non-vanishing derivatives of such modular forms are co…
P-adic generalizations of hyper-elliptic functions
Yaacov Kopeliovich
We express the branch points cross ratio of Hyper-elliptic Mumford curves as quotients of p adic theta functions evaluated at the p adic period matrix
The addition on Jacobian varieties from a geometric viewpoint
Yaacov Kopeliovich, Tony Shaska
We give a geometric interpretation of the group law for Jacobian varieties by extending the geometric construction of chords and tangents on an elliptic curve. For any given algebr…