3 papers
math.AG2025
Virtually abelian symmetry groups of hyperbolic lattices
Simon Brandhorst, Markus Kirschmer, Giacomo Mezzedimi
We give a classification of integral lattices with virtually abelian symmetry group. As a consequence, we complete the classification of K3 surfaces with virtually abelian automorp…
math.NT2024
Enumerating orders in number fields
Markus Kirschmer, Jürgen Klüners
We arrange the orders in an algebraic number field in a tree. This tree can be used to enumerate all orders of bounded index in the maximal order as well as the orders over some gi…
math.NT2024
Chow groups of one-dimensional noetherian domains
Markus Kirschmer, Jürgen Klüners
We discuss various connections between ideal classes, divisors, Picard and Chow groups of one-dimensional noetherian domains. As a result of these, we give a method to compute Chow…