Principality of curves on sandwiched singularities
نویسندگان
چکیده
منابع مشابه
On Curves on Sandwiched Surface Singularities
Fixed a point O on a non-singular surface S and a complete mO-primary ideal I in OS,O , the curves on the surface X = BlI (S) obtained by blowing-up I are studied in terms of the base points of I. Criteria for the principality of these curves are obtained. New formulas for their multiplicity, intersection numbers and order of singularity at the singularities of X are given. The semigroup of bra...
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In this paper we describe the deformation theory of sandwiched sin-gularities in terms of-constant deformations of plane curves, and a divisor of points on it. This leads to an immediate understanding of the smoothings of sandwiched singularities in terms of pictures: certain conngurations of points and curves with only d-fold points in the plane. The topology of a smoothing can be described co...
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Let C be an isolated plane curve singularity, and (C, l) be a decorated curve. In this article we compare the equisingular deformations of C and the sandwiched singularity X(C, l). We will prove that for l ≫ 0 the functor of equisingular deformations of C and (C, l) are equivalent. From this we deduce a proof of a formula for the dimension of the equisingular stratum. Furthermore we will show h...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2010
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2010.v17.n1.a2