Motivic Milnor fibers of plane curve singularities
DOI10.1007/s10013-017-0250-2zbMath1401.14025arXiv1703.04820OpenAlexW2595025568MaRDI QIDQ723410
Publication date: 31 July 2018
Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.04820
Newton polyhedronplane curve singularitymotivic integrationmotivic Milnor fibermotivic zeta functionarc spacesresolution of singularityextended resolution graph
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Milnor fibration; relations with knot theory (32S55) Singularities of curves, local rings (14H20) Arcs and motivic integration (14E18)
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Cites Work
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- On a conjecture of Kontsevich and Soibelman
- Zeta function of degenerate plane curve singularity
- Lefschetz numbers of iterates of the monodromy and truncated arcs
- Composition with a two variable function
- On Steenbrink's conjecture
- Germs of arcs on singular algebraic varieties and motivic integration
- Geometry of plane curves via Tschirnhausen resolution tower
- On Hodge spectrum and multiplier ideals
- Arc spaces and Alexander invariants
- On resolution complexity of plane curves
- Motivic exponential integrals and a motivic Thom-Sebastiani theorem
- Iterated vanishing cycles, convolution, and a motivic analogue of a conjecture of Steenbrink
- Motivic Milnor Fibre for Nondegenerate Function Germs on Toric Singularities
- Singular Points of Complex Hypersurfaces. (AM-61)