3 papers
math.NT2025
On Weil Polynomials of Hyperelliptic Curves over Finite Fields of Characteristic 2
Matvey Borodin, Liam May
We present new conditions which obstruct the existence of hyperelliptic Jacobians in isogeny classes of abelian varieties over finite fields of characteristic 2. We show that Weil…
math.NT2025
Hyperelliptic Jacobians in Isogeny Classes of Abelian Threefolds Over Finite Fields
Matvey Borodin, Liam May
We present new criteria that obstruct an isogeny class of abelian varieties over a finite field with a given Weil polynomial from containing a Jacobian of a genus-3 hyperelliptic c…
math.CO2023
The Orbits of the Action of the Cactus Group on Arc Diagrams
Matvey Borodin
The cactus group is the -equivariant fundamental group of the real locus of the Deligne-Mumford moduli space of stable rational curves with marked points. This group pla…