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An Introduction to Local Tropicalization

In: Handbook of Geometry and Topology of Singularities VIII

Author

Listed:
  • Patrick Popescu-Pampu

    (University of Lille, CNRS, UMR 8524 - Laboratoire Paul Painlevé)

  • Dmitry Stepanov

    (Department of Higher Mathematics and Center of Fundamental Mathematics, Moscow Institute of Physics and Technology)

Abstract

In this paper we explain four viewpoints on the local tropicalization of formal subgerms of toric germs, which is a local analog of the global tropicalization of subvarieties of algebraic tori. We start by illustrating some of those viewpoints for plane curve singularities, then we pass to arbitrary dimensions. We conclude by describing several variants and extensions of the notion of local tropicalization presented in this paper.

Suggested Citation

  • Patrick Popescu-Pampu & Dmitry Stepanov, 2026. "An Introduction to Local Tropicalization," Springer Books, in: José Luis Cisneros-Molina & Lê Dũng Tráng & José Seade (ed.), Handbook of Geometry and Topology of Singularities VIII, chapter 0, pages 103-143, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-99571-2_3
    DOI: 10.1007/978-3-031-99571-2_3
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