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Motivic Milnor Fibers of Plane Curve Singularities

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Abstract

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.

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Acknowledgements

This research is funded by the Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number FWO.101.2015.02.

The author would like to thank The Abdus Salam International Centre for Theoretical Physics (ICTP), The Vietnam Institute for Advanced Study in Mathematics (VIASM), and Department of Mathematics - KU Leuven for warm hospitality during his visits.

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  1. Department of Mathematics, Vietnam National University, 334 Nguyen Trai Street, Thanh Xuan District, Hanoi, Vietnam

    Quy Thuong Lê

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  1. Quy Thuong Lê
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Lê, Q.T. Motivic Milnor Fibers of Plane Curve Singularities. Vietnam J. Math. 46, 493–506 (2018). https://doi.org/10.1007/s10013-017-0250-2

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  • DOI: https://doi.org/10.1007/s10013-017-0250-2

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