A. Shnidman

activity

20122026

most citedThe average size of the 3-isogeny Selmer groups of elliptic curves

y^{2} = x^{3} + k

23 citations · 108 across the 30 of their papers we have counts for

collaborators

Showing 2017Show all

4 papers · 1 filter

math.NT2017

Quadratic twists of abelian varieties with real multiplication

Ari Shnidman

Let $F$ be a totally real number field and $A / F$ a principally polarized abelian variety with real multiplication by the ring of integers $O$ of a totally real field. Ass…

math.NT2017★ 12 cited

Three-isogeny Selmer groups and ranks of abelian varieties in quadratic twist families over a number field

Manjul Bhargava, Zev Klagsbrun, Robert J. Lemke Oliver +1

For an abelian variety $A$ over a number field $F$ , we prove that the average rank of the quadratic twists of $A$ is bounded, under the assumption that the multiplication-by-3 isog…

math.NT2017

A Gross-Kohnen-Zagier formula for Heegner-Drinfeld cycles

Benjamin Howard, Ari Shnidman

Let $F$ be the field of rational functions on a smooth projective curve over a finite field, and let $π$ be an unramified cuspidal automorphic representation for $PGL_{2}$ o…

math.AG2017

Grothendieck groups of categories of abelian varieties

Ari Shnidman

We compute the Grothendieck group of the category of abelian varieties over an algebraically closed field $k$ . We also compute the Grothendieck group of the category of $A$ -isotypi…