%0 Journal Article %T Blow-ups and resolutions of strong K£¿hler with torsion metrics %A Anna Fino %A Adriano Tomassini %J Mathematics %D 2008 %I arXiv %X 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. %U http://arxiv.org/abs/0804.0397v2