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arxiv: 1005.1482 · v1 · submitted 2010-05-10 · 🧮 math.CV

Localization of Atiyah classes

classification 🧮 math.CV
keywords atiyahclasseslocalizationapplicationscech-dolbeaultcohomologyconstructdebar-closed
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We construct Atiyah classes using debar-closed forms. Under this point of view and using the Cech-Dolbeault cohomology, we provide several types of results about vanishing and localization of Atiyah classes and applications.

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