Milnor fibers over singular toric varieties and nearby cycle sheaves

DOI10.2748/tmj/1303219938zbMath1223.32019arXiv0809.3148OpenAlexW2104802778MaRDI QIDQ542909

Kiyoshi Takeuchi, Yutaka Matsui

Publication date: 20 June 2011

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.3148

zbMATH Keywords

toric varietyMilnor fibermonodromy zeta function

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Milnor fibration; relations with knot theory (32S55) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60)

Related Items (13)

Multivariate Abel-Ruffini ⋮ Meromorphic continuations of local zeta functions and their applications to oscillating integrals ⋮ A geometric degree formula for \(A\)-discriminants and Euler obstructions of toric varieties ⋮ Bifurcation values of polynomial functions and perverse sheaves ⋮ Meromorphic nearby cycle functors and monodromies of meromorphic functions (with Appendix by T. Saito) ⋮ Monodromies at infinity of confluent \(A\)-hypergeometric functions ⋮ Monodromy zeta functions at infinity, Newton polyhedra and constructible sheaves ⋮ Newton polyhedra of discriminants of projections ⋮ 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 ⋮ Brasselet number and Newton polygons ⋮ ON VANISHING THEOREMS FOR LOCAL SYSTEMS ASSOCIATED TO LAURENT POLYNOMIALS

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