Manin's b-constant in families

Abstract

We show that the $b$-constant (appearing in Manin's conjecture) is constant on very general fibers of a family of algebraic varieties. If the fibers of the family are uniruled, then we show that the $b$-constant is constant on general fibers.

16 pages

References in corpus (2)

• Geometric Manin's Conjecture and rational curves
• On the geometry of thin exceptional sets in Manin's Conjecture