Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Kirschmer, Markus"'
Autor:
Kirschmer, Markus, Klüners, Jürgen
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 given order.
Externí odkaz:
http://arxiv.org/abs/2411.08568
Autor:
Kirschmer, Markus, Klüners, Jürgen
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 groups of orders in global fields and show that there are infinitely
Externí odkaz:
http://arxiv.org/abs/2208.14688
Let $E$ be an ordinary elliptic curve over a finite field and $g$ be a positive integer. Under some technical assumptions, we give an algorithm to span the isomorphism classes of principally polarized abelian varieties in the isogeny class of $E^g$.
Externí odkaz:
http://arxiv.org/abs/2004.08315
Autor:
Kirschmer, Markus
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 genera in a given genus of hermitian lattices over a number field.
Externí odkaz:
http://arxiv.org/abs/1904.04518
Autor:
Kirschmer, Markus, Nebe, Gabriele
We relate proper isometry classes of maximal lattices in a totally definite quaternary quadratic space (V,q) with trivial discriminant to certain equivalence classes of ideals in the quaternion algebra representing the Clifford invariant of (V,q). Th
Externí odkaz:
http://arxiv.org/abs/1705.06525
Autor:
Kirschmer, Markus, Klüners, Jürgen
Publikováno v:
Research in Number Theory; 11/4/2024, Vol. 10 Issue 4, p1-13, 13p
Autor:
Kirschmer, Markus, Nebe, Gabriele
We classify all one-class genera of admissible lattice chains of length at least 2 in hermitian spaces over number fields.
Externí odkaz:
http://arxiv.org/abs/1612.06713
Autor:
Lorch, David, Kirschmer, Markus
Publikováno v:
LMS Journal of Computation and Mathematics / Volume 16 / 2013 / pp 172-186
We give an enumeration of all positive definite primitive Z-lattices in dimension >= 3 whose genus consists of a single isometry class. This is achieved by using bounds obtained from the Smith-Minkowski-Siegel mass formula to computationally construc
Externí odkaz:
http://arxiv.org/abs/1208.5638
Autor:
Kirschmer, Markus
This paper classifies the maximal finite subgroups of Sp(2n,Q) for 1 <= n <= 11 up to conjugacy in GL(2n,Q).
Externí odkaz:
http://arxiv.org/abs/0909.3989