Monodromies at infinity of non-tame polynomials

DOI10.24033/bsmf.2720zbMath1388.14052arXiv1208.4584OpenAlexW2963347883MaRDI QIDQ2954313

Kiyoshi Takeuchi, Mihai-Marius Tibar

Publication date: 12 January 2017

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.4584

zbMATH Keywords

Newton polyhedronJordan blocksmotivic Milnor fibremonodromy at infinitytoric compactificationatypical valuesnon-convenient polynomials

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Sheaves of differential operators and their modules, (D)-modules (32C38) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) 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 ⋮ Bifurcation values of polynomial functions and perverse sheaves ⋮ 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 ⋮ Formulas for monodromy ⋮ The bifurcation set of a rational function via Newton polytopes

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