6 citations · 12 across the 7 of their papers we have counts for
5 papers · 1 filter
Linear independence in linear systems on elliptic curves
Bradley W. Brock, Bruce W. Jordan, Bjorn Poonen +2
Let be an elliptic curve, with identity , and let be a cyclic subgroup of odd order , over an algebraically closed field with . For…
Extensions in the cohomology of Hilbert modular varieties
Cosmin Davidescu, Anthony J. Scholl
We describe extension classes arising in the -adic and Hodge cohomology of Hilbert modular varieties, generalising results of Caspar to arbitrary dimensions. We show that thi…
Modular forms, de Rham cohomology and congruences
Matija Kazalicki, Anthony J. Scholl
In this paper we show that Atkin and Swinnerton-Dyer type of congruences hold for weakly modular forms (modular forms that are permitted to have poles at cusps). Unlike the case of…
Integral elements of K-theory and products of modular curves II
A. J. Scholl
We discuss the relationship between different notions of "integrality" in motivic cohomology/K-theory which arise in the Beilinson and Bloch-Kato conjectures, and prove their equiv…
On some l-adic representations of Gal(Qbar/Q) attached to noncongruence subgroups
A. J. Scholl
The l-adic parabolic cohomology groups attached to noncongruence subgroups of SL_2(Z) are finite-dimensional representations of Gal(Qbar/F) for some number field F. We exhibit exam…