16 citations · 47 across the 9 of their papers we have counts for
12 papers
Heegner points in Coleman families
Dimitar Jetchev, David Loeffler, Sarah Livia Zerbes
We construct two-parameter analytic families of Galois cohomology classes interpolating the etale Abel--Jacobi images of generalised Heegner cycles, with both the modular form and…
Cyclic Isogenies for Abelian Varieties with Real Multiplication
Alina Dudeanu, Dimitar Jetchev, Damien Robert +1
We study quotients of principally polarized abelian varieties with real multiplication by Galois-stable finite subgroups and describe when these quotients are principally polarizab…
Horizontal Distribution Relations for Special Cycles on Unitary Shimura Varieties: Split Case
Reda Boumasmoud, Ernest Hunter Brooks, Dimitar Jetchev
We study the local behavior of special cycles on Shimura varieties for in the setting of the Gan-Gross-Prasad conjectures at primes o…
Isogeny graphs of ordinary abelian varieties
Ernest Hunter Brooks, Dimitar Jetchev, Benjamin Wesolowski
Fix a prime number . Graphs of isogenies of degree a power of are well-understood for elliptic curves, but not for higher-dimensional abelian varieties. We study the c…
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…
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…