Curvettes and clusters of infinitely near points

Autor(en): Moyano-Fernandez, Julio Jose
Stichwörter: Curvette; Infinitely near point; Intersection matrix; Mathematics; Mathematics, Applied; Proximity; Two-dimensional regular local ring; VALUATIONS
Erscheinungsdatum: 2011
Herausgeber: SPRINGER-VERLAG ITALIA SRL
Journal: REVISTA MATEMATICA COMPLUTENSE
Volumen: 24
Ausgabe: 2
Startseite: 439
Seitenende: 463
Zusammenfassung: 
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.
ISSN: 11391138
DOI: 10.1007/s13163-010-0048-1

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