Geometry of nondegenerate polynomials: motivic nearby cycles and cohomology of contact loci

DOI10.5802/crmath.492arXiv1903.07262OpenAlexW3200479617MaRDI QIDQ6122512

Nguyen Tat Thang, Quy Thuong Lê

Publication date: 1 March 2024

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.07262

zbMATH Keywords

Newton polyhedronmotivic Milnor fibermotivic zeta functionnondegeneracymotivic nearby cyclesarc spacescontact locisheaf cohomology with compact support

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Singularities of surfaces or higher-dimensional varieties (14J17) Milnor fibration; relations with knot theory (32S55) Deformations of complex singularities; vanishing cycles (32S30) Local complex singularities (32S05) Deformations of singularities (14B07)

Cites Work

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• Newton polyhedra and Igusa's local zeta function
• Arc spaces and Alexander invariants
• Cohomology of contact loci
• Computing motivic zeta functions on log smooth models
• A tropical motivic Fubini theorem with applications to Donaldson-Thomas Theory
• Iterated vanishing cycles, convolution, and a motivic analogue of a conjecture of Steenbrink
• Floer cohomology, multiplicity and the log canonical threshold
• Singularités à l’infini et intégration motivique
• Motivic Milnor Fibre for Nondegenerate Function Germs on Toric Singularities
• Quasi-ordinary power series and their zeta functions

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