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arXiv · 1304.1218

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

Steven Dale Cutkosky
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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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Steven Dale Cutkosky. 2013-04-04. Teissier's problem on inequalities of nef divisors over an arbitrary field. https://arxiv.org/abs/1304.1218

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