Geometric Properties of Maximal psh Functions

Name: Geometric Properties of Maximal psh Functions
Keywords: [MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV], [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV]

Dujardin, Romain; Guedj, Vincent

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https://doi.org/10.1007/978-3-...

Part of book or chapter of book . 2011 . Peer-reviewed

License: Springer Nature TDM

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HAL-INSA Toulouse

Part of book or chapter of book . 2012

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https://dx.doi.org/10.1007/978...

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École Polytechnique, Université Paris-Saclay: HAL

Part of book or chapter of book . 2012

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Université Toulouse 2 - Jean Jaurès: HAL

Part of book or chapter of book . 2012

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https://dx.doi.org/10.1007/978...

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Data sources: Microsoft Academic Graph

Geometric Properties of Maximal psh Functions

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 2011 France English Publisher:Springer Berlin Heidelberg

Authors: Dujardin, Romain; Guedj, Vincent;

doi: 10.1007/978-3-642-23669-3_3

Geometric Properties of Maximal psh Functions

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Abstract

We review the geometric properties of maximal plurisubharmonic 5 functions u and of the associated closed positive currents dd c u, in two complex 6 dimensions.When u is regular enough (at least of class C3), dd c u is “foliated” 7 by Riemann surfaces along which u is harmonic. On the other hand when u is 8 less than C 1 ,1 this picture breaks down completely, as recent examples show.

Country

France

Related Organizations

UNIVERSITE FEDERALE DE TOULOUSE MIDI-PYRENEES
France
UNIVERSITE DE TOULOUSE
France
French National Centre for Scientific Research
France
INSA de Toulouse
France
INSTITUT POLYTECHNIQUE DE PARIS
France

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Keywords

[MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV], [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV]

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