Wanlin Li

collaborators

4 papers

math.NT2025

Infinitely many primes of basic reduction for some abelian fourfolds

Wanlin Li, Elena Mantovan, Rachel Pries +1

If $E$ is an elliptic curve, defined over $Q$ or a number field having at least one real embedding, then Elkies proved that $E$ has supersingular reduction at infinitely m…

math.NT2025

Positive density of primes of ordinary reduction for abelian varieties of simple signature

Victoria Cantoral FarfÃ¡n, Wanlin Li, Elena Mantovan +2

By a result of Serre, if $A$ is an elliptic curve without CM defined over a number field $L$ , then the set of primes of $L$ for which $A$ has ordinary reduction has density $1$ . Ka…

math.AG2025

Non-vanishing of Ceresa and Gross--Kudla--Schoen cycles associated to modular curves

Matt Kerr, Wanlin Li, Congling Qiu +1

Associated to an algebraic curve $X$ , there are two canonically constructed homologically trivial algebraic $1$ -cycles, the Ceresa cycle in the Jacobian of $X$ , and the Gross-Kudla…

math.NT2024

On $ℓ$ -torsion in degree $ℓ$ superelliptic Jacobians over $F_{q}$

Wanlin Li, Jonathan Love, Eric Stubley

We study the $ℓ$ -torsion subgroup in Jacobians of curves of the form $y^{ℓ} = f (x)$ for irreducible $f (x)$ over a finite field $F_{q}$ of characteristic $p \neq \ell…

Infinitely many primes of basic reduction for some abelian fourfolds

Positive density of primes of ordinary reduction for abelian varieties of simple signature

Non-vanishing of Ceresa and Gross--Kudla--Schoen cycles associated to modular curves

On ℓ-torsion in degree ℓ superelliptic Jacobians over Fq​

On $ℓ$ -torsion in degree $ℓ$ superelliptic Jacobians over $F_{q}$