Anti-self-dual bihermitian structures on Inoue surfaces

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dc.creatorFujiki, A.
dc.creatorPontecorvo, M.
dc.date2009-03-09
dc.date.accessioned2026-07-07T12:50:17Z
dc.date.available2026-07-07T12:50:17Z
dc.descriptionWe show that any hyperbolic Inoue surface (or Inoue-Hirzebruch surface of even type) admits anti-self-dual bihermitian structures. The same result also holds for any of its small deformations as far as its anti-canonical system is non-empty. Similar results are obtained for parabolic Inoue surfaces. Our method also yields anti-self-dual hermitian metrics on any half Inoue surface. We use the twistor method of Donaldson-Friedman for the proof.
dc.description69 pages,
dc.identifierhttps://arxiv.org/abs/0903.1320
dc.identifierhttp://arxiv.org/abs/0903.1320
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222638
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subject53C55 (Primary) 53C28, 32G05 (Secondary)
dc.titleAnti-self-dual bihermitian structures on Inoue surfaces
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