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Curvettes and clusters of infinitely near points

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Abstract

The aim of this paper is to revise the theory of clusters of infinitely near points for arbitrary fields. We describe in particular the intersection matrix of such a cluster, we introduce the notion of curvette over an arbitrary field and we relate it to the Hamburger-Noether tableaux associated with curves.

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Authors and Affiliations

  1. Institut für Mathematik, Universität Osnabrück, Albrechtstrasse 28a, 49076, Osnabrück, Germany

    Julio José Moyano-Fernández

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  1. Julio José Moyano-Fernández
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Correspondence to Julio José Moyano-Fernández.

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Research partially supported by the Deutsche Forschungsgemeinschaft (DFG), Junta de Castilla y León grant JCyL-VA025A07 and by the Spanish Ministerio de Educación y Ciencia grant MTM2007-64704 in the framework of the European founds FEDER.

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Moyano-Fernández, J.J. Curvettes and clusters of infinitely near points. Rev Mat Complut 24, 439–463 (2011). https://doi.org/10.1007/s13163-010-0048-1

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  • DOI: https://doi.org/10.1007/s13163-010-0048-1

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