Motivic Milnor Fibers of Plane Curve Singularities

Motivic Milnor Fibers of Plane Curve Singularities

We compute the motivic Milnor fiber of a complex plane curve singularity in an inductive and combinatoric way using the extended simplified resolution graph. The method introduced in this article has a consequence that one can study the Hodge–Steenbrink spectrum of such a singularity in terms of tha...

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Veröffentlicht in:Vietnam journal of mathematics 2018-09, Vol.46 (3), p.493-506
1. Verfasser: Lê, Quy Thuong
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Singularity (mathematics)
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Zusammenfassung:We compute the motivic Milnor fiber of a complex plane curve singularity in an inductive and combinatoric way using the extended simplified resolution graph. The method introduced in this article has a consequence that one can study the Hodge–Steenbrink spectrum of such a singularity in terms of that of a quasi-homogeneous singularity.
ISSN:2305-221X
2305-2228
DOI:10.1007/s10013-017-0250-2