5 citations · 9 across the 7 of their papers we have counts for
7 papers
Abelian surfaces in Hesse form and explicit isogeny formulas
Thomas Decru, Sabrina Kunzweiler
We develop a new method for the computation of -isogenies between principally polarized abelian surfaces. The idea is to work with models in induced by a symm…
Computing modular polynomials by deformation
Sabrina Kunzweiler, Damien Robert
We present an unconditional CRT algorithm to compute the modular polynomial in quasi-linear time. The main ingredients of our algorithm are: the embedding of -i…
Failing to hash into supersingular isogeny graphs
Jeremy Booher, Ross Bowden, Javad Doliskani +12
An important open problem in supersingular isogeny-based cryptography is to produce, without a trusted authority, concrete examples of "hard supersingular curves" that is, equation…
A user's guide to the local arithmetic of hyperelliptic curves
Alex J. Best, L. Alexander Betts, Matthew Bisatt +8
A new approach has been recently developed to study the arithmetic of hyperelliptic curves over local fields of odd residue characteristic via combinatorial data associa…
Integral differential forms for superelliptic curves
Sabrina Kunzweiler, Stefan Wewers
Given a superelliptic curve over a local field , we describe the theoretical background and an implementation of a new algorithm for computing the $\mathcal{O…
Reduction type of genus-3 curves in a special stratum of their moduli space
Irene Bouw, Nirvana Coppola, Pınar Kılıçer +3
We study a 3-dimensional stratum of the moduli space of curves of genus parameterizing curves that admit a certain action of $V= C_2\tim…
Differential Forms on Hyperelliptic Curves with Semistable Reduction
Sabrina Kunzweiler
Let be a hyperelliptic curve over a local field with odd residue characteristic, defined by some affine Weierstrass equation . We assume that has semistable r…