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

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Showing 2024Show all

2 papers · 1 filter

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.AG2024★ 3 cited

Vanishing criteria for Ceresa cycles

Jef Laga, Ari Shnidman

Let $C$ be a smooth projective curve, and let $J$ be its Jacobian. We prove vanishing criteria for the Ceresa cycle $κ (C) \in CH_{1} (J) \otimes Q$ in the Chow group…

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

Vanishing criteria for Ceresa cycles

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