TY - JOUR
T1 - Quasiplurisubharmonic Green functions
AU - Coman, Dan
AU - Guedj, Vincent
N1 - Funding Information:
* Corresponding author. E-mail addresses: [email protected] (D. Coman), [email protected] (V. Guedj). 1 D. Coman was supported by the NSF grant DMS 0500563. Support by the Institut Mittag-Leffler (Djursholm, Sweden) is gratefully acknowledged.
PY - 2009/11
Y1 - 2009/11
N2 - Given a compact Kähler 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.
AB - Given a compact Kähler 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.
KW - (Quasi)plurisubharmonic functions
KW - Kähler manifolds
KW - Lelong numbers
KW - Positive closed currents
UR - http://www.scopus.com/inward/record.url?scp=71549144418&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=71549144418&partnerID=8YFLogxK
U2 - 10.1016/j.matpur.2009.05.010
DO - 10.1016/j.matpur.2009.05.010
M3 - Article
AN - SCOPUS:71549144418
SN - 0021-7824
VL - 92
SP - 456
EP - 475
JO - Journal des Mathematiques Pures et Appliquees
JF - Journal des Mathematiques Pures et Appliquees
IS - 5
ER -