Monodromy zeta functions at infinity, Newton polyhedra and constructible sheaves

DOI10.1007/s00209-010-0678-5zbMath1264.14005arXiv0809.3149OpenAlexW1990982562MaRDI QIDQ543333

Yutaka Matsui, Kiyoshi Takeuchi

Publication date: 17 June 2011

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.3149

zbMATH Keywords

monodromybifurcation pointMilnor fibersconstructible sheavesNewton polyhedra

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Singularities in algebraic geometry (14B05) Projective and enumerative algebraic geometry (14N99)

Related Items (15)

Monodromy zeta-function of a polynomial on a complete intersection, and Newton polyhedra ⋮ Meromorphic continuations of local zeta functions and their applications to oscillating integrals ⋮ Motivic Milnor fiber at infinity and composition with a non-degenerate polynomial ⋮ Bifurcation values of polynomial functions and perverse sheaves ⋮ 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 ⋮ Invertible polynomial mappings via Newton non-degeneracy ⋮ Monodromies at infinity of confluent \(A\)-hypergeometric functions ⋮ A motivic Milnor fiber at infinity. ⋮ Milnor fibers over singular toric varieties and nearby cycle sheaves ⋮ Monodromy at infinity of \(A\)-hypergeometric functions and toric compactifications ⋮ The bifurcation set of a rational function via Newton polytopes ⋮ Motivic Milnor fibers and Jordan normal forms of Milnor monodromies ⋮ ON VANISHING THEOREMS FOR LOCAL SYSTEMS ASSOCIATED TO LAURENT POLYNOMIALS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Milnor fibers over singular toric varieties and nearby cycle sheaves
• A geometric degree formula for \(A\)-discriminants and Euler obstructions of toric varieties
• Monodromy at infinity of \(A\)-hypergeometric functions and toric compactifications
• \(D\)-modules, perverse sheaves, and representation theory. Translated from the Japanese by Kiyoshi Takeuchi
• Zeta-function of the mondromy for complete intersection singularities
• Milnor numbers and the topology of polynomial hypersurfaces
• Newton polyhedra and toroidal varieties
• On the bifurcation set of a polynomial function and Newton boundary
• Polyedres de Newton et nombres de Milnor
• Zeta functions for germs of meromorphic functions, and Newton diagrams
• Sheaves in topology
• On the zeta-function of a polynomial at infinity
• Singularities at infinity and their vanishing cycles
• Introduction to Toric Varieties. (AM-131)
• On the monodromy at infinity of a polynomial map, II
• Singular Points of Complex Hypersurfaces. (AM-61)
• Singularities at infinity and their vanishing cycles. II: Monodromy

This page was built for publication: Monodromy zeta functions at infinity, Newton polyhedra and constructible sheaves