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2022 On the Monodromies and the Limit Mixed Hodge Structures of Families of Algebraic Varieties
Takahiro Saito, Kiyoshi Takeuchi
Michigan Math. J. Advance Publication 1-38 (2022). DOI: 10.1307/mmj/20205992

Abstract

We study the monodromies and the limit mixed Hodge structures of families of complete intersection varieties over a punctured disk in the complex plane. For this purpose, we express their motivic nearby fibers in terms of the geometric data of some Newton polyhedra. In particular, the limit mixed Hodge numbers and some part of the Jordan normal forms of the monodromies of such a family will be described very explicitly.

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Takahiro Saito. Kiyoshi Takeuchi. "On the Monodromies and the Limit Mixed Hodge Structures of Families of Algebraic Varieties." Michigan Math. J. Advance Publication 1 - 38, 2022. https://doi.org/10.1307/mmj/20205992

Information

Received: 25 September 2020; Revised: 9 March 2021; Published: 2022
First available in Project Euclid: 12 May 2022

Digital Object Identifier: 10.1307/mmj/20205992

Subjects:
Primary: 14E18 , 14M25 , 32C38 , 32S35 , 32S40

Rights: Copyright © 2022 The University of Michigan

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