Equidistribution and freeness on Grassmannians
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Publication:6361341
DOI10.2140/ANT.2022.16.2385arXiv2102.11552MaRDI QIDQ6361341
Tal Horesh, T. D. Browning, Florian Wilsch
Publication date: 23 February 2021
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.
Asymptotic results on counting functions for algebraic and topological structures (11N45) Rational points (14G05) Grassmannians, Schubert varieties, flag manifolds (14M15) Discrete subgroups of Lie groups (22E40) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Lattice points in specified regions (11P21)
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