Meromorphic nearby cycle functors and monodromies of meromorphic functions (with Appendix by T. Saito)

2019/09/04 by Nguyen, Tat Thang, Takeuchi, Kiyoshi
#14F05 #14M25 #32C38 #32S05 #32S40 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1909.01809

Abstract

We introduce meromorphic nearby cycle functors and study their functorial properties. Moreover we apply them to monodromies of meromorphic functions in various situations. Combinatorial descriptions of their reduced Hodge spectra and Jordan normal forms will be obtained.

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