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A Recursive Formula for the Motivic Milnor Fiber of a Plane Curve

In: Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics

Author

Listed:
  • Manuel González Villa

    (Centro de Investigación en Matemáticas, A.C.)

  • Gary Kennedy

    (Ohio State University at Mansfield)

  • Lee J. McEwan

    (Ohio State University at Mansfield)

Abstract

We find a recursive formula for the motivic Milnor fiber of an irreducible plane curve, using the notions of a truncation and derived curve. We then apply natural transformations to obtain a similar recursion for the Hodge-theoretic spectrum.

Suggested Citation

  • Manuel González Villa & Gary Kennedy & Lee J. McEwan, 2018. "A Recursive Formula for the Motivic Milnor Fiber of a Plane Curve," Springer Books, in: Gert-Martin Greuel & Luis Narváez Macarro & Sebastià Xambó-Descamps (ed.), Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics, pages 203-218, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-96827-8_9
    DOI: 10.1007/978-3-319-96827-8_9
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