Blow-ups and resolutions of strong K\"ahler with torsion metrics

By Anna Fino, Adriano Tomassini. 2008

65 citations recorded by the source corpus.

On a compact complex manifold we study the behaviour of strong K\"ahler 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.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/4f2e65ba2e4bd21d0f1983375a9b4e7d680585f1

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In Applied Mathematics

1. Luigi Vezzoni
2. Nicola Enrietti
3. Anna Fino
4. L. Ugarte
5. Fabio Paradiso
6. Adriano Tomassini

In Geometry and Topology

1. Luigi Vezzoni
2. Nicola Enrietti
3. Anna Fino
4. L. Ugarte
5. Fabio Paradiso
6. Adriano Tomassini

Citations in the corpus

• A correction to “Tamed symplectic forms and strong Kähler with torsion metrics” (2012, background): “Moreover, in [15] it has been shown that the blow-up of an SKT manifold M at a point or along a compact submanifold admits an SKT metric.”