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| Parametrizations of space curves https://www.singular.uni-kl.de/forum/viewtopic.php?f=10&t=1319 |
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| Author: | Ignacio Farran [ Thu Aug 11, 2005 5:31 pm ] |
| Post subject: | Parametrizations of space curves |
Assume that we have a complete intersection curve in n dimesions, given by n-1 polynomial equations, and a point of this curve with only one (possibly singular) place which, after a translation, can be assumed at the origin. Assume that we also know a local parameter at such point, given by a rational function on the curve. Is there any possibility to compute with Singular a local parametrization (up to a certain degree) of the unique branch at that point? If this is not possible in general, does anybody know an alternative method to compute the order of a rational function at such a point without using local parametrizations? Note: the aim is to compute the Weierstrass semigroup of the space curve at that point, in order to construct AG codes over towers of function fields. email: ignfar@eis.uva.es Posted in old Singular Forum on: 2002-02-20 11:21:46+01 |
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