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arXiv · 2308.09418

Geometric monodromies, mixed Hodge numbers of motivic Milnor fibers and Newton polyhedra

Kiyoshi Takeuchi
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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.

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Kiyoshi Takeuchi. 2023-08-18. Geometric monodromies, mixed Hodge numbers of motivic Milnor fibers and Newton polyhedra. https://arxiv.org/abs/2308.09418

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