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Pré-Publication, Document De Travail Année : 2022

On the regularity of conical Calabi-Yau potentials

Résumé

Using pluripotential theory on degenerate Sasakian manifolds, we show that a locally bounded conical Calabi-Yau potential on a Fano cone is actually smooth on the regular locus. This work is motivated by a similar result obtained by R. Berman in the case where the cone is toric. Our proof is purely pluripotential and independent of any extra symmetry imposed on the cone.
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Dates et versions

hal-03817877 , version 1 (17-10-2022)

Identifiants

  • HAL Id : hal-03817877 , version 1

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Tran-Trung Nghiem. On the regularity of conical Calabi-Yau potentials. 2022. ⟨hal-03817877⟩
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