On the value-semigroup of a simple complete ideal in a two-dimensional regular local ring
| Autor: | Greco, S., Kiyek, K. |
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| Rok vydání: | 2007 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Let R be a two-dimensional regular local ring with maximal ideal \mathfrak m, and let \wp be a simple complete \mathfrak m-primary ideal which is residually rational. Let R_0:= R\subsetneqq ...\subsetneqq R_r be the quadratic sequence associated to \wp, let \Gamma_\wp be the value-semigroup associated to \wp, and let ((e_j(\wp))_{0\leq j\leq r} be the multiplicity sequence of \wp. We associate to \wp a sequence of natural integers, the formal characteristic sequence of \wp, and we show that the value-semigroup, the multiplicity sequence and the formal characteristic sequence are equivalent data. Furthermore, we give a new proof that \Gamma_\wp is symmetric, and give a formula for c_\wp, the conductor of \Gamma_\wp, in terms of entries of the Hamburger-Noether tableau of \wp. Comment: Latex, 7 pages |
| Databáze: | arXiv |
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