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math.NT2020
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…
math.NT2020
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…