5 citations · 7 across the 4 of their papers we have counts for
4 papers
Shadow line distributions
Jennifer S. Balakrishnan, Mirela Çiperiani, Barry Mazur +1
Let be an elliptic curve over with Mordell--Weil rank and be an odd prime of good ordinary reduction. For every imaginary quadratic field satisfying th…
Shadow lines in the arithmetic of elliptic curves
Jennifer S. Balakrishnan, Mirela Ciperiani, Jaclyn Lang +2
Let E/Q be an elliptic curve and p a rational prime of good ordinary reduction. For every imaginary quadratic field K/Q satisfying the Heegner hypothesis for E we have a correspond…
Weil-Châtelet divisible elements in Tate-Shafarevich groups I: The Bashmakov problem for elliptic curves over Q
Mirela Çiperiani, Jakob Stix
For an abelian variety A over a number field k we discuss the maximal divisibile subgroup of H^1(k,A) and its intersection with the subgroup Sha(A/k). The results are most complete…
Relative Brauer groups of genus 1 curves
Mirela Ciperiani, Daniel Krashen
In this paper we develop techniques for computing the relative Brauer group of curves, focusing particularly on the case where the genus is 1. We use these techniques to show that…