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Discrete Equivalence of Non-positive at Infinity Plane Valuations

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Abstract

Non-positive at infinity valuations are a class of real plane valuations which have a nice geometrical behavior. They are divided in three types. We study the dual graphs of non-positive at infinity valuations and give an algorithm for obtaining them. Moreover we compare these graphs attending the type of their corresponding valuation.

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Authors and Affiliations

  1. Departamento de Matemáticas & Institut Universitari de Matemàtiques i Aplicacions de Castelló, Universitat Jaume I, Campus de Riu Sec, 12071, Castellón de la Plana, Spain

    Carlos Galindo & Carlos Jesús Moreno-Ávila

  2. Instituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, Camino de Vera s/n, 46022, Valencia, Spain

    Francisco Monserrat

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  1. Carlos Galindo
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  2. Francisco Monserrat
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  3. Carlos Jesús Moreno-Ávila
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Correspondence to Carlos Jesús Moreno-Ávila.

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Partially supported by the Spanish Government (MCI/AEI/FEDER, UE), Grants PGC2018-096446-B-C22, RED2018-102583-T and BES-2016-076314, as well as by Generalitat Valenciana, Grant AICO-2019-223 and Universitat Jaume I, Grant UJI-B2018-10.

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Galindo, C., Monserrat, F. & Moreno-Ávila, C.J. Discrete Equivalence of Non-positive at Infinity Plane Valuations. Results Math 76, 146 (2021). https://doi.org/10.1007/s00025-021-01435-0

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