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Semisimple quantum cohomology of some Fano varieties

Authors :
Perrin, Nicolas
Publication Year :
2014

Abstract

We give sufficient conditions for the semisimplicity of quantum cohomology of Fano varieties of Picard rank 1. We apply these techniques to prove new semisimplicity results for some Fano varieties of Picard rank 1 and large index. We also give examples of Fano varieties having a non semisimple small quantum cohomology but a semisimple big quantum cohomology.<br />Comment: 27 pages

Subjects

Subjects :
Mathematics - Algebraic Geometry

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1405.5914
Document Type :
Working Paper