The Manin-Peyre conjecture for a certain biprojective cubic threefold
Valentin Blomer, J\"org Br\"udern, Per Salberger
TL;DR
This paper confirms the Manin-Peyre conjectures for a specific biprojective cubic threefold, advancing understanding of rational points distribution on algebraic varieties.
Contribution
It provides a proof of the Manin-Peyre conjectures for a new class of threefolds, specifically a certain biprojective cubic threefold.
Findings
Manin-Peyre conjectures verified for the threefold
Provides explicit asymptotic formulas for rational points
Enhances understanding of rational points on cubic threefolds
Abstract
The conjectures of Manin and Peyre are confirmed for a certain threefold.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Advanced Differential Equations and Dynamical Systems