Semisimple Quantum Cohomology and Blow-ups
Algebraic Geometry
2012-04-06 v1 Differential Geometry
Abstract
Using results of Gathmann, we prove the following theorem: If a smooth projective variety X has generically semisimple (p,p)-quantum cohomology, then the same is true for the blow-up of X at any number of points. This a successful test for a modified version of Dubrovin's conjecture from the ICM 1998.
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Cite
@article{arxiv.math/0403260,
title = {Semisimple Quantum Cohomology and Blow-ups},
author = {Arend Bayer},
journal= {arXiv preprint arXiv:math/0403260},
year = {2012}
}
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13 pages