Geometric Batyrev-Manin-Peyre for equivariant compactifications of additive groups

DOI10.1007/s13366-022-00656-wzbMath1528.14033arXiv2106.11898OpenAlexW3177126259WikidataQ114219931 ScholiaQ114219931MaRDI QIDQ6132679

Loïs Faisant

Publication date: 17 August 2023

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.11898

zbMATH Keywords

moduli space of curvesmotivic Euler productgeometric Batyrev-Manin-Peyre conjecture

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Constructible exponential functions, motivic Fourier transform and transfer principle
• Motivic Artin \(L\)-functions and a motivic Tamagawa number
• On the number of rational points of bounded height on algebraic varieties
• Projective manifolds with ample tangent bundles
• Germs of arcs on singular algebraic varieties and motivic integration
• Motivic integration
• Heights and Tamagawa measures on Fano varieties
• Integral points of bounded height on partial equivariant compactifications of vector groups
• Beyond heights: slopes and distribution of rational points
• Motivic height zeta functions
• Motivic Poisson summation
• Produit eulérien motivique et courbes rationnelles sur les variétés toriques
• The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension
• Motivic Euler Products and Motivic Height Zeta Functions
• Higher-dimensional algebraic geometry

This page was built for publication: Geometric Batyrev-Manin-Peyre for equivariant compactifications of additive groups