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Manin's b-constant in families

Algebraic Geometry 2019-10-16 v1

Abstract

We show that the bb-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 bb-constant is constant on general fibers.

Cite

@article{arxiv.1708.05447,
  title  = {Manin's b-constant in families},
  author = {Akash Kumar Sengupta},
  journal= {arXiv preprint arXiv:1708.05447},
  year   = {2019}
}

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16 pages