The $α$-Invariant on $CP^2#2\bar{CP^2}$

dc.creatorSong, Jian
dc.date2002-05-06
dc.date.accessioned2026-07-07T04:48:16Z
dc.date.available2026-07-07T04:48:16Z
dc.descriptionIn this paper, we apply the Tian-Yau-Zelditch expansion of the Bergman kernel on polarized Kähler metrics to approximate plurisubharmonic functions and compute the $α$-invariant of $CP^2#2\bar{CP^2}$, which is exactly 1/3. In addition we prove Tian's conjecture on the generalized Moser-Trudinger inequality in a special case prescribed by the $α$-invariant.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0205041
dc.identifierhttp://arxiv.org/abs/math/0205041
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63979
dc.subjectDifferential Geometry
dc.titleThe $α$-Invariant on $CP^2#2\bar{CP^2}$
dc.typetext

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