Ari Shnidman

activity

20172024

collaborators

3 papers

math.NT2024

Derivatives of Rankin-Selberg $L$ -functions and heights of generalized Heegner cycles

David T. -B. G. Lilienfeldt, Ari Shnidman

Let $f$ be a newform of weight $2 k$ and let $χ$ be an unramified imaginary quadratic Hecke character of infinity type $(2 t, 0)$ , for some integer $0 < t \leq k - 1$ . We show that the…

math.NT2023

Normal distribution of bad reduction

Robert J. Lemke Oliver, Daniel Loughran, Ari Shnidman

We prove normal distribution laws for primes of bad semistable reduction in families of curves. As a consequence, we deduce that when ordered by height, $100%$ of curves in these…

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…

Derivatives of Rankin-Selberg L-functions and heights of generalized Heegner cycles

Normal distribution of bad reduction

Grothendieck groups of categories of abelian varieties

Derivatives of Rankin-Selberg $L$ -functions and heights of generalized Heegner cycles