Curvettes and clusters of infinitely near points

Details Curvettes and clusters of infinitely near points Curvettes and clusters of infinitely near points

2009-03-30

arxiv.org/abs/0903.5109v2

Revista Matem\'atica Complutense, Vol. 24 (2011), 439-463

Mathematics

Commutative Algebra

Some minor changes were made along the paper

Scientific paper

10.1007/s13163-010-0048-1

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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