English

Teissier's problem on inequalities of nef divisors over an arbitrary field

Algebraic Geometry 2013-04-05 v1 Commutative Algebra

Abstract

Boucksom, Favre and Jonsson establish in [4] an analog of Diskant's inequality in convex geometry for nef and big line bundles on a complete algebraic variety over an algebraically closed field of characteristic zero (Theorem F [4]), from which they deduce a solution (Theorem D [4]) to a problem of Teissier (Problem B [29]) on proportionality of nef divisors. In this paper we extend these results to a complete variety over an arbitrary field k.

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Cite

@article{arxiv.1304.1218,
  title  = {Teissier's problem on inequalities of nef divisors over an arbitrary field},
  author = {Steven Dale Cutkosky},
  journal= {arXiv preprint arXiv:1304.1218},
  year   = {2013}
}

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28 pages