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Deformations of trianalytic subvarieties of hyperkähler manifolds

✍ Scribed by M. Verbitsky


Publisher
SP Birkhäuser Verlag Basel
Year
1998
Tongue
English
Weight
597 KB
Volume
4
Category
Article
ISSN
1022-1824

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We shall describe the twistor space of a hyperkähler 4n-manifold with an isometric S 1 -action which is holomorphic for one of the complex structures, scales the corresponding holomorphic symplectic form and whose fixed point set has complex dimension n. We deduce that any hyperkähler metric on the