Manin's $b$-constant in families

Akash Kumar Sengupta

doi:10.2140/ant.2019.13.1893

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Home > Journals > Algebra Number Theory > Volume 13 > Issue 8 > Article

2019 Manin's $b$-constant in families

Akash Kumar Sengupta

Algebra Number Theory 13(8): 1893-1905 (2019). DOI: 10.2140/ant.2019.13.1893

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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.