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Cayley deformations of compact complex surfaces. (English) Zbl 1428.53065
Summary: In this article, we consider Cayley deformations of a compact complex surface in a Calabi-Yau fourfold. We will study complex deformations of compact complex submanifolds of Calabi-Yau manifolds with a view to explaining why complex and Cayley deformations of a compact complex surface are the same.

MSC:
53C38 Calibrations and calibrated geometries
14J32 Calabi-Yau manifolds (algebro-geometric aspects)
32Q25 Calabi-Yau theory (complex-analytic aspects)
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