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MONODROMIES OF SPLITTING FAMILIES FOR DEGENERATIONS OF RIEMANN SURFACES

Okuda, Takayuki 大阪大学 DOI:10.18910/87480

2022.04

概要

When we study degenerations of Riemann surfaces from a topological viewpoint, the topological monodromies play a very important role. In this paper, as an analogy, we introduce the concept of “topological monodromies of splitting families” for degenerations of Riemann surfaces, and their “monodromy assortments”. We show that the monodromy assortments of barking families associated with tame simple crusts act as a pseudo-periodic homeomorphism of negative twist on each irreducible component of the main fibers. As an application of our results, we show an interesting example of two splitting families for one degeneration that have different topological monodromies, although they give the same splitting.

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参考文献

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