Equidistribution and freeness on Grassmannians

Abstract

We associate a certain tensor product lattice to any primitive integer lattice and ask about its typical shape. These lattices are related to the tangent bundle of Grassmannians and their study is motivated by Peyre's programme on "freeness" for rational points of bounded height on Fano varieties.

24 pages; accepted for publication at Algebra & Number Theory

References in corpus (4)

• Integer points and their orthogonal lattices
• Integer points on spheres and their orthogonal grids
• Freeness alone is insufficient for Manin-Peyre
• Equidistribution of primitive lattices in ${\mathbb{R}}^n$

Cited by in corpus (1)

• Equidistribution of primitive lattices in ${\mathbb{R}}^n$