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Quasiplurisubharmonic Green functions

✍ Scribed by Dan Coman; Vincent Guedj

Book ID
104044928
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
275 KB
Volume
92
Category
Article
ISSN
0021-7824

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✦ Synopsis

Given a compact KÀhler manifold X, a quasiplurisubharmonic function is called a Green function with pole at p ∈ X if its Monge-Ampère measure is supported at p. We study in this paper the existence and properties of such functions, in connection to their singularity at p. A full characterization is obtained in concrete cases, such as (multi)projective spaces.

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