Existence of Kähler-Einstein metrics and multiplier ideal sheaves on del Pezzo surfaces

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dc.creatorHeier, Gordon
dc.date2007-10-30
dc.date.accessioned2026-07-07T08:39:31Z
dc.date.available2026-07-07T08:39:31Z
dc.descriptionWe apply Nadel's method of multiplier ideal sheaves to show that every complex del Pezzo surface of degree at most six whose automorphism group acts without fixed points has a Kähler-Einstein metric. In particular, all del Pezzo surfaces of degree $4,5$, or $6$ and certain special del Pezzo surfaces of lower degree are shown to have a Kähler-Einstein metric. This result is not new, but the proofs given in the present paper are less involved than earlier ones by Siu, Tian and Tian-Yau.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0710.5724
dc.identifierhttp://arxiv.org/abs/0710.5724
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141098
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subjectDifferential Geometry
dc.subject14J26, 14J45, 32Q20
dc.titleExistence of Kähler-Einstein metrics and multiplier ideal sheaves on del Pezzo surfaces
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