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Descendant log Gromov-Witten invariants for toric varieties and tropical curves

2016/12/07 by Mandel, Travis, Ruddat, Helge · 3 citations
#14M25 #14N10 #14N35 #14T05 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1612.02402

Abstract

Using degeneration techniques, we prove the correspondence of tropical curve counts and log Gromov-Witten invariants with general incidence and psi-class conditions in toric varieties for genus zero curves and all non-superabundant higher-genus situations. We also relate the log invariants to the ordinary ones, in particular explaining the appearance of negative multiplicities in the descendant correspondence result of Mark Gross.

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