On 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 blowup 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.

Blow ups and resolutions of strong Kähler with torsion metrics

FINO, Anna Maria;
2009-01-01

Abstract

On 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 blowup 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.
2009
221
914
935
http://arxiv.org/pdf/0804.0397v2.pdf
Hermitian metric; Torsion; Current; Blow-up; Orbifold
A. FINO; A. TOMASSINI
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/100279
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