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

Tat Thang Nguyen; Kiyoshi Takeuchi

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arXiv · 1909.01809

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

Tat Thang Nguyen·Kiyoshi Takeuchi

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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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BibTeX RIS

Tat Thang Nguyen, Kiyoshi Takeuchi. 2019-09-04. Meromorphic nearby cycle functors and monodromies of meromorphic functions (with Appendix by T. Saito). https://arxiv.org/abs/1909.01809

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