On plane algebroid curves
交换代数
2007-05-23 v1 代数几何
摘要
Two plane analytic branches are topologically equivalent if and only if they have the same multiplicity sequence. We show that having same semigroup is equivalent to having same multiplicity sequence, we calculate the semigroup from a parametrization, and we characterize semigroups for plane branches. These results are known, but the proofs are new. Furthermore we characterize multiplicity sequences of plane branches, and we prove that the associated graded ring, with respect to the values, of a plane branch is a complete intersection.
引用
@article{arxiv.math/0302224,
title = {On plane algebroid curves},
author = {Valentina Barucci and Marco D'Anna and Ralf Froberg},
journal= {arXiv preprint arXiv:math/0302224},
year = {2007}
}
备注
14 pages