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Article Dans Une Revue Geometric And Functional Analysis Année : 2016

Convexity and Zariski decomposition structure

Brian Lehmann
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Jian Xiao
  • Fonction : Auteur
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Résumé

This is the first part of our work on Zariski decomposition structures, where we study Zariski decompositions using Legendre–Fenchel type transforms. In this way we define a Zariski decomposition for curve classes. This decomposition enables us to develop the theory of the volume function for curves defined by the second named author, yielding some fundamental positivity results for curve classes. For varieties with special structures, the Zariski decomposition for curve classes admits an interesting geometric interpretation.

Dates et versions

hal-01684170 , version 1 (15-01-2018)

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Brian Lehmann, Jian Xiao. Convexity and Zariski decomposition structure. Geometric And Functional Analysis, 2016, 26 (4), pp.1135 - 1189. ⟨10.1007/s00039-016-0384-5⟩. ⟨hal-01684170⟩
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