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Weighted Blowups and Mirror Symmetry for Toric Surfaces

Gabriel D. Kerr

math.AGarXiv:math/0609162

Abstract

This paper explores homological mirror symmetry for weighted blowups of toric varieties. It will be shown that both the A-model and B-model categories have natural semiorthogonal decompositions. An explicit equivalence of the right orthogonal categories will be shown for the case of toric surfaces.

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