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Additional Invariants in the Case e x(X) = 2

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Desingularization: Invariants and Strategy

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2270))

Abstract

In order to show key Theorem 6.40 in Chap. 6, we recall further invariants for singularities, which were defined by Hironaka. The definition works for any dimension, as long as the directrix is 2-dimensional.

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References

  1. V. Cossart, B. Schober, A strictly decreasing invariant for resolution of singularities in dimension two. Publ. Res. Inst. Math. Sci. 56(2), 217–280 (2020)

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  2. V. Cossart, U. Jannsen, B. Schober, Invariance of Hironaka’s characteristic polyhedron. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. 113(4), 29 (2019). Special edition in honour of Felipe Cano

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  3. H. Hironaka, Desingularization of excellent surfaces, in Advanced Science Seminar in Algebraic Geometry, (Summer 1967 at Bowdoin College), Mimeographed notes by B. Bennet, Lecture Notes in Mathematics, 1101 (Springer, Berlin, 1984), pp. 99–132.

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Authors and Affiliations

  1. Université Paris-Saclay, UVSQ, LMV (UMR 8100) CNRS, Versailles Cedex, France

    Vincent Cossart

  2. Fakultät für Mathematik, Universität Regensburg, Regensburg, Bayern, Germany

    Uwe Jannsen

  3. Graduate School of Mathematical Sciences, University of Tokyo, Meguro-ku, Tokyo, Japan

    Shuji Saito

Authors
  1. Vincent Cossart
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  2. Uwe Jannsen
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  3. Shuji Saito
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© 2020 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG

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Cossart, V., Jannsen, U., Saito, S. (2020). Additional Invariants in the Case e x(X) = 2. In: Desingularization: Invariants and Strategy. Lecture Notes in Mathematics, vol 2270. Springer, Cham. https://doi.org/10.1007/978-3-030-52640-5_11

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