17 citations · 60 across the 21 of their papers we have counts for
22 papers
Infinitely many primes of basic reduction for some abelian fourfolds
Wanlin Li, Elena Mantovan, Rachel Pries +1
If is an elliptic curve, defined over or a number field having at least one real embedding, then Elkies proved that has supersingular reduction at infinitely m…
Positive density of primes of ordinary reduction for abelian varieties of simple signature
Victoria Cantoral Farfán, Wanlin Li, Elena Mantovan +2
By a result of Serre, if is an elliptic curve without CM defined over a number field , then the set of primes of for which has ordinary reduction has density . Ka…
On -torsion in degree superelliptic Jacobians over
Wanlin Li, Jonathan Love, Eric Stubley
We study the -torsion subgroup in Jacobians of curves of the form for irreducible over a finite field of characteristic $p \neq \ell…
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 , there are two canonically constructed homologically trivial algebraic -cycles, the Ceresa cycle in the Jacobian of , and the Gross-Kudla…
Exceptional biases in counting primes over functions fields
Alexandre Bailleul, Lucile Devin, Daniel Keliher +1
We study how often exceptional configurations of irreducible polynomials over finite fields occur in the context of prime number races and Chebyshev's bias. In particular, we show…
On the vanishing of twisted -functions of elliptic curves over rational function fields
Antoine Comeau-Lapointe, Chantal David, Matilde Lalin +1
We investigate in this paper the vanishing at of the twisted -functions of elliptic curves defined over the rational function field (where $\mathbb{F…
The Ceresa class and tropical curves of hyperelliptic type
Daniel Corey, Wanlin Li
We define a new algebraic invariant of a graph called the Ceresa-Zharkov class and show that it is trivial if and only if is of hyperelliptic type, equivalently, does n…
On the Northcott property of zeta functions over function fields
Xavier Généreux, Matilde Lalín, Wanlin Li
Pazuki and Pengo defined a Northcott property for special values of zeta functions of number fields and certain motivic -functions. We determine the values for which the Northco…
Abelian varieties of prescribed order over finite fields
Raymond van Bommel, Edgar Costa, Wanlin Li +2
Given a prime power and , we prove that every integer in a large subinterval of the Hasse--Weil interval is $#A(\mathbb{F}_q)$…
Data for Shimura varieties intersecting the Torelli locus
Wanlin Li, Elena Mantovan, Rachel Pries
For infinitely many Hurwitz spaces parametrizing cyclic covers of the projective line, we provide a method to determine the integral PEL datum of the Shimura variety that contains…
Doubly isogenous genus-2 curves with -action
Vishal Arul, Jeremy Booher, Steven R. Groen +5
We study the extent to which curves over finite fields are characterized by their zeta functions and the zeta functions of certain of their covers. Suppose C and C' are curves over…
Vanishing of Dirichlet L-functions at the central point over function fields
Ravi Donepudi, Wanlin Li
We give a geometric criterion for Dirichlet -functions associated to cyclic characters over the rational function field to vanish at the central point .…
Surface bundles and the section conjecture
Wanlin Li, Daniel Litt, Nick Salter +1
We formulate a tropical analogue of Grothendieck's section conjecture: that for every stable graph G of genus g>2, and every field k, the generic curve with reduction type G over k…
The Ceresa class: tropical, topological, and algebraic
Daniel Corey, Jordan Ellenberg, Wanlin Li
The Ceresa cycle is an algebraic cycle attached to a smooth algebraic curve with a marked point, which is trivial when the curve is hyperelliptic with a marked Weierstrass point. T…
Group-theoretic Johnson classes and a non-hyperelliptic curve with torsion Ceresa class
Dean Bisogno, Wanlin Li, Daniel Litt +1
Let l be a prime and G a pro-l group with torsion-free abelianization. We produce group-theoretic analogues of the Johnson/Morita cocycle for G -- in the case of surface groups, th…
Nonvanishing of hyperelliptic zeta functions over finite fields
Jordan S. Ellenberg, Wanlin Li, Mark Shusterman
Fixing and a finite field of odd characteristic, we give an explicit upper bound on the proportion of genus hyperelliptic curves over $\mathbb…
Newton polygon stratification of the Torelli locus in PEL-type Shimura varieties
Wanlin Li, Elena Mantovan, Rachel Pries +1
We study the intersection of the Torelli locus with the Newton polygon stratification of the modulo reduction of certain PEL-type Shimura varieties. We develop a clutching meth…
Ranks, -Selmer groups, and Tamagawa numbers of elliptic curves with -torsion
Stephanie Chan, Jeroen Hanselman, Wanlin Li
In 2016, Balakrishnan-Ho-Kaplan-Spicer-Stein-Weigandt produced a database of elliptic curves over ordered by height in which they computed the rank, the size of the $2…
Newton Polygons Arising for Special Families of Cyclic Covers of the Projective Line
Wanlin Li, Elena Mantovan, Rachel Pries +1
By a result of Moonen, there are exactly 20 positive-dimensional families of cyclic covers of the projective line for which the Torelli image is open and dense in the associated Sh…
Newton polygons of cyclic covers of the projective line branched at three points
Wanlin Li, Elena Mantovan, Rachel Pries +1
We review the Shimura-Taniyama method for computing the Newton polygon of an abelian variety with complex multiplication. We apply this method to cyclic covers of the projective li…
Effective Bounds on the Dimensions of Jacobians Covering Abelian Varieties
Juliette Bruce, Wanlin Li
We show that any polarized abelian variety over a finite field is covered by a Jacobian whose dimension is bounded by an explicit constant. We do this by first proving an effective…
Vanishing of Hyperelliptic L-functions at the Central Point
Wanlin Li
We obtain a lower bound on the number of quadratic Dirichlet L-functions over the rational function field which vanish at the central point . This is in contrast with the…