Counting algebraic points of bounded height on projective spaces

DOI10.1016/j.jnt.2016.06.008zbMath1416.11112OpenAlexW2501193811MaRDI QIDQ311461

Quentin Guignard

Publication date: 13 September 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.06.008

zbMATH Keywords

heightsalgebraic pointsheight zeta functions

Mathematics Subject Classification ID

Rational points (14G05) Varieties over global fields (11G35) Heights (11G50)

Related Items (4)

Heights on stacks and a generalized Batyrev–Manin–Malle conjecture ⋮ Slicing the stars: counting algebraic numbers, integers, and units by degree and height ⋮ Open problems in the wild McKay correspondence and related fields ⋮ On the frequency of height values

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Algebraic points of bounded height on the projective line
• On Siegel's lemma
• Reduction theory using semistability
• Eine Bemerkung zur Reduktionstheorie quadratischer Formen
• Northcott's theorem on heights. I: A general estimate
• An arithmetic analogue of Clifford's theorem
• Slopes of adelic vector bundles over global fields
• Northcott's theorem on heights II. The quadratic case
• Counting algebraic numbers with large height II
• Counting points of fixed degree and bounded height
• Density of discriminants of cubic extensions.
• Heights in number fields
• Orders of quadratic extensions of number fields
• Effectivity of Arakelov divisors and the theta divisor of a number field

This page was built for publication: Counting algebraic points of bounded height on projective spaces