S. Kunzweiler

activity

20192026

collaborators

3 papers

math.AG2026

Abelian surfaces in Hesse form and explicit isogeny formulas

Thomas Decru, Sabrina Kunzweiler

We develop a new method for the computation of $(3, 3)$ -isogenies between principally polarized abelian surfaces. The idea is to work with models in $P^{8}$ induced by a symm…

math.NT2024

Computing modular polynomials by deformation

Sabrina Kunzweiler, Damien Robert

We present an unconditional CRT algorithm to compute the modular polynomial $Φ_{ℓ} (X, Y)$ in quasi-linear time. The main ingredients of our algorithm are: the embedding of $ℓ$ -i…

math.AG2019

Differential Forms on Hyperelliptic Curves with Semistable Reduction

Sabrina Kunzweiler

Let $C$ be a hyperelliptic curve over a local field $K$ with odd residue characteristic, defined by some affine Weierstrass equation $y^{2} = f (x)$ . We assume that $C$ has semistable r…