The Manin-Peyre conjecture for smooth spherical Fano threefolds

DOI10.1007/s00029-024-00952-4MaRDI QIDQ6574272

Giuliano Gagliardi, Jörg Brüdern, Ulrich Derenthal, Valentin Blomer

Publication date: 18 July 2024

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

zbMATH Keywords

rational pointsharmonic analysisFano threefoldsspherical varietiesCox ringsManin-Peyre conjecture

Mathematics Subject Classification ID

Rational points (14G05) Counting solutions of Diophantine equations (11D45) Varieties over global fields (11G35) Compactifications; symmetric and spherical varieties (14M27)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Primitive wonderful varieties
• Plongements d'espaces homogènes
• La descente sur les variétés rationnelles. II. (The descent on rational varieties. II)
• Bounds for automorphic \(L\)-functions
• Spherical varieties of type A
• Heights and Tamagawa measures on Fano varieties
• Fano threefolds as equivariant compactifications of the vector group
• Density of rational points on a quadric bundle in \(\mathbb{P}^3 \times \mathbb{P}^3 \)
• Cox Rings
• A new form of the circle method, and its application to quadratic forms.
• Tamagawa numbers of polarized algebraic varieties
• Introduction
• Geometric consistency of Manin's conjecture
• Toric varieties
• On a certain senary cubic form
• The Manin–Peyre conjecture for smooth spherical Fano varieties of semisimple rank one
• Density of rational points on some quadric bundle threefolds

This page was built for publication: The Manin-Peyre conjecture for smooth spherical Fano threefolds