1 citations · 1 across the 3 of their papers we have counts for
4 papers
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…
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…
Determinant groups of hermitian lattices over local fields
Markus Kirschmer
We describe the determinants of the automorphism groups of hermitian lattices over local fields. Using a result of G. Shimura, this yields an explicit method to compute the special…
Finite symplectic matrix groups
Markus Kirschmer
This paper classifies the maximal finite subgroups of Sp(2n,Q) for 1 <= n <= 11 up to conjugacy in GL(2n,Q).