Counterexamples to Minkowski's conjecture and escape of mass in positive characteristic

DOI10.2140/CNT.2024.13.179MaRDI QIDQ6631399

Noy Soffer Aranov

Publication date: 1 November 2024

Published in: Combinatorics and Number Theory (Search for Journal in Brave)

zbMATH Keywords

measuresfunction fieldscovering radiuspositive characteristicgeometry of numbersdiagonal groupMinkowski conjecturecompact orbitescape of mass

Mathematics Subject Classification ID

Products of linear forms (11H46) Relations between ergodic theory and number theory (37A44)

Cites Work

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• Closed orbits for actions of maximal tori on homogeneous spaces
• Verallgemeinerung eines Minkowskischen Satzes. I, II.
• On the approximation of a real quantity by rational numbers.
• On conjectures of Minkowski and Woods for \(n=10\)
• Stable and well-rounded lattices in diagonal orbits
• An analogue to Minkowski's geometry of numbers in a field of series.
• On the product of four non-homogeneous linear forms
• On finite arithmetic simplicial complexes
• On conjectures of Minkowski and Woods for n=8
• An Introduction to the Geometry of Numbers
• Full Escape of Mass for the Diagonal Group
• The Product of n Inhomogeneous Linear Forms in n Variables

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