Motivic Milnor fibers and Jordan normal forms of Milnor monodromies

DOI10.4171/PRIMS/130zbMath1312.32014arXiv1202.5076MaRDI QIDQ2509465

Kiyoshi Takeuchi, Yutaka Matsui

Publication date: 28 July 2014

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.5076

zbMATH Keywords

Newton polyhedronMilnor fiberHodge numbersMilnor monodromy

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Milnor fibration; relations with knot theory (32S55) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35) Arcs and motivic integration (14E18)

Related Items (7)

Milnor monodromies and mixed Hodge structures for non-isolated hypersurface singularities ⋮ Monodromies at infinity of non-tame polynomials ⋮ Meromorphic nearby cycle functors and monodromies of meromorphic functions (with Appendix by T. Saito) ⋮ On the monodromies and the limit mixed Hodge structures of families of algebraic varieties ⋮ Newton transformations and motivic invariants at infinity of plane curves ⋮ Monodromies at infinity of confluent \(A\)-hypergeometric functions ⋮ Formulas for monodromy

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Milnor fibers over singular toric varieties and nearby cycle sheaves
• Monodromy zeta functions at infinity, Newton polyhedra and constructible sheaves
• \(D\)-modules, perverse sheaves, and representation theory. Translated from the Japanese by Kiyoshi Takeuchi
• Hypergeometric periods for a tame polynomial
• A supplement to the monodromy theorem
• A motivic Milnor fiber at infinity.
• Exponents and Newton polyhedra of isolated hypersurface singularities
• Polyedres de Newton et nombres de Milnor
• La fonction zeta d'une monodromie
• Hodge numbers attached to a polynomial map
• Motivic Milnor Fibers over Complete Intersection Varieties and their Virtual Betti Numbers
• Introduction to Toric Varieties. (AM-131)
• On ‘maximal’ poles of zeta functions, roots ofb-functions, and monodromy Jordan blocks
• NEWTON POLYHEDRA AND AN ALGORITHM FOR COMPUTING HODGE–DELIGNE NUMBERS
• THE GEOMETRY OF TORIC VARIETIES
• On the zeta function of a complete intersection
• Monodromy at Infinity of Polynomial Maps and Newton Polyhedra (with an Appendix by C. Sabbah)
• Singular Points of Complex Hypersurfaces. (AM-61)
• Algorithms for the Gauss-Manin connection

This page was built for publication: Motivic Milnor fibers and Jordan normal forms of Milnor monodromies