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Motivic Milnor Fibre for Nondegenerate Function Germs on Toric Singularities

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Bridging Algebra, Geometry, and Topology

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 96))

Abstract

We study function germs on toric varieties which are nondegenerate for their Newton diagram. We express their motivic Milnor fibre in terms of their Newton diagram. We extend a formula for the motivic nearby fibre to the case of a toroidal degeneration. We illustrate this by some examples.

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Author information

Authors and Affiliations

  1. IMAPP, Radboud University Nijmegen, Nijmegen, The Netherlands

    J. H. M. Steenbrink

  2. Mathematical Sciences Center, Tsinghua University, Beijing, China

    J. H. M. Steenbrink

Authors
  1. J. H. M. Steenbrink
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Correspondence to J. H. M. Steenbrink .

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Editors and Affiliations

  1. Faculty of Mathematics and Informatics, Ovidius University, Constanta, Constanta, Romania

    Denis Ibadula

  2. Department of Mathematics, University of Leuven, Leuven (Heverlee), Belgium

    Willem Veys

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Steenbrink, J.H.M. (2014). Motivic Milnor Fibre for Nondegenerate Function Germs on Toric Singularities. In: Ibadula, D., Veys, W. (eds) Bridging Algebra, Geometry, and Topology. Springer Proceedings in Mathematics & Statistics, vol 96. Springer, Cham. https://doi.org/10.1007/978-3-319-09186-0_16

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