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arxiv: 0801.3499 · v1 · submitted 2008-01-23 · 🧮 math.AG

Sheaves on local Calabi-Yau varieties

Matthew Robert Ballard This is my paper
classification 🧮 math.AG
keywords bundlecanonicalsheavesa-infinityalgebracalabi-yaucasecharacterisation
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We investigate sheaves supported on the zero section of the total space of a locally-free sheaf E on a smooth, projective variety X when the top exterior power of E is isomorphic to the canonical bundle of X. We rephrase this construction using the language of A-infinity algebra and provide a simple characterisation of the case E is simply the canonical bundle itself.

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