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math.AG2023
Elliptic Fibrations on Vinberg's Most Algebraic K3 Surface
Simon Brandhorst, Matthias Zach
We explain how to use the computer algebra system OSCAR to find all elliptic fibrations (up to automorphism) on a given surface and compute their Weierstrass models. This is illust…
math.NT2023★ 2 cited
Hensel lifting algorithms for quadratic forms
Simon Brandhorst, Davide Cesare Veniani
We provide an algorithm to compute generators of the orthogonal group of the discriminant group associated to an integral quadratic lattice over the integers. We give a closed form…