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Stable Lattices and the Diagonal Group by Shapira, Uri; Weiss, Barak is a scholarly article available to read on EtoBox.

What is Stable Lattices and the Diagonal Group about?

Inspired by work of McMullen, we show that any orbit of the diagonal group in the space of lattices accumulates on the set of stable lattices. As consequences, we settle a conjecture of Ramharter concerning the asymptotic behaviour of the Mordell constant, and reduce Minkowski's conjecture on products of linear forms to a geometric question, yielding two new proofs of the conjecture in dimensions up to 7.

Author

Shapira, Uri; Weiss, Barak

Published

2016

Language

EN