Descendent theory for stable pairs on toric 3-folds
Algebraic Geometry
2012-07-05 v4
Abstract
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.
Cite
@article{arxiv.1011.4054,
title = {Descendent theory for stable pairs on toric 3-folds},
author = {R. Pandharipande and A. Pixton},
journal= {arXiv preprint arXiv:1011.4054},
year = {2012}
}
Comments
Revised verison, 38 pages