J functions, non-nef toric varieties and equivariant local mirror symmetry of curves

Details J functions, non-nef toric varieties and equivariant local mirror symmetry of curves J functions, non-nef toric varieties and equivariant local mirror symmetry of curves

2006-03-31

arxiv.org/abs/math/0603728v2

Int.J.Mod.Phys.A22:2327-2360,2007

Mathematics

Algebraic Geometry

31 pages, no figures, minor errors in Section 2 and Section 3 are corrected

Scientific paper

10.1142/S0217751X0703649X

We develop techniques for computing the equivariant local mirror symmetry of
curves, i.e. mirror symmetry for O(k)+O(-2-k) over P^1 for k greater than 0. We
also describe related methods for dealing with mirror symmetry of non-nef toric
varieties. The basic tools are equivariant I functions and their Birkhoff
factorization.

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