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20072019
most citedThe Birch and Swinnerton-Dyer Formula for Elliptic Curves of Analytic Rank One

16 citations · 47 across the 9 of their papers we have counts for

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Showing 2015Show all

3 papers · 1 filter

math.NT2015★ 16 cited

The Birch and Swinnerton-Dyer Formula for Elliptic Curves of Analytic Rank One

Dimitar Jetchev, Christopher Skinner, Xin Wan

Let be a semistable elliptic curve such that . We prove the -part of the Birch and Swinnerton-Dyer formula for for ea…

math.NT2015

Vertical Distribution Relations For Special Cycles on Unitary Shimura Varieties

Reda Boumasmoud, Ernest Hunter Brooks, Dimitar Jetchev

We consider cycles on a 3-dimensional Shimura varieties attached to a unitary group, defined over extensions of a CM field , which appear in the context of the conjectures of Ga…

math.NT2015

Horizontal isogeny graphs of ordinary abelian varieties and the discrete logarithm problem

Dimitar Jetchev, Benjamin Wesolowski

Fix an ordinary abelian variety defined over a finite field. The ideal class group of its endomorphism ring acts freely on the set of isogenous varieties with same endomorphism rin…