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Sengupta, Akash Kumar

Manin’s \(b\)-constant in families. (English) Zbl 1423.14112

Algebra Number Theory 13, No. 8, 1893-1905 (2019).
Summary: 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.

Cited in 3 Documents

MSC:

14E30 Minimal model program (Mori theory, extremal rays)
14G05 Rational points

Keywords:

Manin’s conjecture; minimal model program; rational points; Néron-Severi group
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References:

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