Blow-ups and resolutions of strong Kähler with torsion metrics

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dc.creatorFino, Anna
dc.creatorTomassini, Adriano
dc.date2008-04-02
dc.date2009-02-04
dc.date.accessioned2026-07-07T12:37:07Z
dc.date.available2026-07-07T12:37:07Z
dc.descriptionOn a compact complex manifold we study the behaviour of strong Kähler with torsion (strong KT) structures under small deformations of the complex structure and the problem of extension of a strong KT metric. In this context we obtain the analogous result of Miyaoka extension theorem. Studying the blow-up of a strong KT manifold at a point or along a complex submanifold, we prove that a complex orbifold endowed with a strong KT metric admits a strong KT resolution. In this way we obtain new examples of compact simply-connected strong KT manifolds.
dc.description19 pages, to be published in Adv. Math
dc.identifierhttps://arxiv.org/abs/0804.0397
dc.identifierhttp://arxiv.org/abs/0804.0397
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218330
dc.subjectDifferential Geometry
dc.subject53C15; 22E25; 58U25
dc.titleBlow-ups and resolutions of strong Kähler with torsion metrics
dc.typetext

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