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Geodesic distance and Monge-Amp\`ere measures on contact sets

Abstract : We prove a geodesic distance formula for quasi-psh functions with finite entropy, extending results by Chen and Darvas. We work with big and nef cohomology classes: a key result we establish is the convexity of the $K$-energy in this general setting. We then study Monge-Amp\`ere measures on contact sets, generalizing a recent result by the first author and Trapani.
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Preprints, Working Papers, ...
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Contributor : Hoang-Chinh Lu Connect in order to contact the contributor
Submitted on : Monday, December 20, 2021 - 7:41:51 AM
Last modification on : Wednesday, April 20, 2022 - 3:44:03 AM

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  • HAL Id : hal-03494792, version 1
  • ARXIV : 2112.09627


Eleonora Di Nezza, Chinh H. Lu. Geodesic distance and Monge-Amp\`ere measures on contact sets. 2021. ⟨hal-03494792⟩



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