Semisimple Quantum Cohomology and Blow-ups

Details Semisimple Quantum Cohomology and Blow-ups Semisimple Quantum Cohomology and Blow-ups

2004-03-16

arxiv.org/abs/math/0403260v1

Int. Math. Res. Not., 2004, 2069-2083

Mathematics

Algebraic Geometry

13 pages

Scientific paper

10.1155/S1073792804140907

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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