Local Gromov-Witten invariants of Blowups of Fano surfaces

Details Local Gromov-Witten invariants of Blowups of Fano surfaces Local Gromov-Witten invariants of Blowups of Fano surfaces

2010-06-22

arxiv.org/abs/1006.4233v1

Mathematics

Algebraic Geometry

13 pages

Scientific paper

In this paper, using the degeneration formula we obtain a blowup formulae of
local Gromov-Witten invariants of Fano surfaces. This formula makes it possible
to compute the local Gromov-Witten invariants of non-toric Fano surfaces form
toric Fano surface, such as del Pezzo surfaces. This formula also verifed an
expectation of Chiang-Klemm-Yau-Zaslow.

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