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Semisimple Quantum Cohomology and Blow-ups

Arend Bayer
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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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Arend Bayer. 2004-03-16. Semisimple Quantum Cohomology and Blow-ups. https://doi.org/10.1155/s1073792804140907

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