The Hasse principle for random Fano hypersurfaces

DOI10.4007/annals.2023.197.3.3OpenAlexW3033938593MaRDI QIDQ2694214

Pierre Le Boudec, Timothy D. Browning, William F. Sawin

Publication date: 28 March 2023

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.02356

zbMATH Keywords

rational pointsFano hypersurfacesheightsHasse principle

Mathematics Subject Classification ID

Rational points (14G05) Counting solutions of Diophantine equations (11D45) Heights (11G50) Lattice points in specified regions (11P21)

Related Items (1)

Une liste de problèmes

Cites Work

• Rational points of bounded height on Fano varieties
• New bounds in some transference theorems in the geometry of numbers
• The number of varieties in a family which contain a rational point
• Height of rational points on random Fano hypersurfaces
• Random Diophantine equations. I
• Asymptotic formulae for point lattices of bounded determinant and subspaces of bounded height
• An introduction to the geometry of numbers.
• Counting Lattice Points and O-Minimal Structures
• Norm forms for arbitrary number fields as products of linear polynomials
• Forms in many variables
• On Some Inequalities for Polynomials in Several Variables
• Cubic forms in sixteen variables
• The Brauer group of cubic surfaces
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