Contact loci, motivic Milnor fibers of nondegenerate singularities

DOI10.3792/pjaa.96.003zbMath1444.14010OpenAlexW3005488161MaRDI QIDQ1988506

Quy Thuong Lê, Nguyen Tat Thang

Publication date: 23 April 2020

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1580785219

zbMATH Keywords

motivic Milnor fibernondegenerate singularityarc spacescontact loci

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Singularities in algebraic geometry (14B05) Milnor fibration; relations with knot theory (32S55) Local complex singularities (32S05) Arcs and motivic integration (14E18)

Cites Work

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• Lefschetz numbers of iterates of the monodromy and truncated arcs
• Germs of arcs on singular algebraic varieties and motivic integration
• Milnor monodromies and mixed Hodge structures for non-isolated hypersurface singularities
• Arc spaces and Alexander invariants
• Iterated vanishing cycles, convolution, and a motivic analogue of a conjecture of Steenbrink
• Floer cohomology, multiplicity and the log canonical threshold

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