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The lattice points of a stacky polytope

Abstract

We study the relation between the lattice points of a stacky polytope and a prequantisation of the stack associated to the stacky polytope. We introduce a prequantisation of a Deligne--Mumford stack and discuss the uniqueness and the existence of a prequantisation. After that we describe explicitly the condition for the existence of a prequantisation in terms of stacky polytope under some conditions and discuss the relation between the holomorphic line bundle associated to a prequantisation and the lattice points of the stacky polytope.Comment: 20 page

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1408.6683oai:arXiv.org:1408.6683
Last time updated on October 24, 2014View original full text link

This paper was published in arXiv.org e-Print Archive.

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