3 papers
math.AG2025
Some computational aspects of spectral sequences in Čech cohomology
Matthias Zach
Sheaf cohomology or, more generally, higher direct images of coherent sheaves along proper morphisms are central to modern algebraic geometry. However, the computation of these obj…
math.AG2024
Some Lê-Greuel type formulae on stratified spaces
Matthias Zach
We extend the circle of ideas from a previous paper on hypersurfaces to functions with an isolated singularity in a stratified sens…
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…