TY - JOUR
AU - Schnell, Uwe
AB - Some results of P. McMullen on determinants of sublattices of Zd induced by rational subspaces are generalized to arbitrary lattices. As an application, we obtain an equality for the minimal determinants introduced by J. M. Wills, namely Dt(L) = Dd(L)Dd−1((L*). Using an inequality of Lagarias, Lenstra and Schnorr, we generalize two isoperimetric inequalities withlattice constraints by Bokowski, Hadwiger and Wills, and Hadwiger, respectively, to arbitrary lattices.
TI - Minimal Determinants and Lattice Inequalities
JF - Bulletin of the London Mathematical Society
DO - 10.1112/blms/24.6.606
DA - 1992-11-01
UR - https://www.deepdyve.com/lp/wiley/minimal-determinants-and-lattice-inequalities-4UqpTSwVyL
SP - 606
EP - 612
VL - 24
IS - 6
DP - DeepDyve
ER -