Weighted Blowups and Mirror Symmetry for Toric Surfaces

Details Weighted Blowups and Mirror Symmetry for Toric Surfaces Weighted Blowups and Mirror Symmetry for Toric Surfaces

2006-09-06

arxiv.org/abs/math/0609162v1

Mathematics

Algebraic Geometry

55 pages, 14 figures

Scientific paper

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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