Geodesics in the space of singular Kähler potentials

S. Ali Aleyasin; Xiu Xiong Chen

doi:10.1007/s00208-019-01846-z

Geodesics in the space of singular Kähler potentials

S. Ali Aleyasin
, Xiu Xiong Chen

Mathematics

University of Waterloo

Research output: Contribution to journal › Article › peer-review

Abstract

Motivated by the results of B. Berndtsson, in this memoir we use the new estimates developed by W. He to extend a theorem of the second author on the existence of weak C^{1 , 1} geodesics between two smooth non-degenerate Kähler potentials to the case where the metrics on the end points may have singularities on some analytic set and may be positive semi-definite.

Original language	English
Pages (from-to)	1079-1103
Number of pages	25
Journal	Mathematische Annalen
Volume	375
Issue number	3-4
DOIs	https://doi.org/10.1007/s00208-019-01846-z
State	Published - Dec 1 2019

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title = "Geodesics in the space of singular K{\"a}hler potentials",

abstract = "Motivated by the results of B. Berndtsson, in this memoir we use the new estimates developed by W. He to extend a theorem of the second author on the existence of weak C1 , 1 geodesics between two smooth non-degenerate K{\"a}hler potentials to the case where the metrics on the end points may have singularities on some analytic set and may be positive semi-definite.",

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AB - Motivated by the results of B. Berndtsson, in this memoir we use the new estimates developed by W. He to extend a theorem of the second author on the existence of weak C1 , 1 geodesics between two smooth non-degenerate Kähler potentials to the case where the metrics on the end points may have singularities on some analytic set and may be positive semi-definite.

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JO - Mathematische Annalen

JF - Mathematische Annalen

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Geodesics in the space of singular Kähler potentials

Abstract

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