Descendent theory for stable pairs on toric 3-folds

Details Descendent theory for stable pairs on toric 3-folds Descendent theory for stable pairs on toric 3-folds

2010-11-17

arxiv.org/abs/1011.4054v3

Mathematics

Algebraic Geometry

36 pages, updated references

Scientific paper

We prove the rationality of the descendent partition function for stable pairs on nonsingular toric 3-folds. The method uses a geometric reduction of the 2- and 3-leg descendent vertices to the 1-leg case. As a consequence, we prove the rationality of the relative stable pairs partition functions for all log Calabi-Yau geometries of the form (X,K3) where X is a nonsingular toric 3-fold.

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