Geometric Monodromies, Mixed Hodge Numbers of Motivic Milnor Fibers and Newton Polyhedra

Kiyoshi Takeuchi ()
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Kiyoshi Takeuchi: Tohoku University, Mathematical Institute

Chapter Chapter 12 in Handbook of Geometry and Topology of Singularities VII, 2025, pp 643-720 from Springer

Abstract: Abstract We introduce the theory of local and global monodromies of polynomials in cohomology groups in various geometric situations, focusing on its relations with toric geometry and motivic Milnor fibers, and moreover in the modern languages of nearby and vanishing cycle functors. Equivariant mixed Hodge numbers of motivic Milnor fibers will be described in terms of Newton polyhedra of polynomials.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-68711-2_12

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DOI: 10.1007/978-3-031-68711-2_12

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