An algorithm to compute plane algebraic curves
نویسنده
چکیده
This paper contains an algorithm, implemented in Magma, to compute singular plane algebraic curves. Two Magma functions are given: one computes linear systems of curves with non-ordinary singularities and the other computes a scheme of points such that there is a given degree plane curve with given singularities at these points. Some examples are presented so that the reader can quickly learn how to use the algorithm. One of them provides the construction of a new surface of general type with pg = 0 and K 2 = 7. 2000 Mathematics Classification: 14Q05, 14H50, 14J29.
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تاریخ انتشار 2009