The existence of plane curves with prescribed singularities
Kawahara, Tomokazu
Proc. Japan Acad. Ser. A Math. Sci., Tome 79 (2003) no. 3, p. 53-58 / Harvested from Project Euclid
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By improving the vanishing theorem of Hirschowitz, we prove an existence theorem of the reduced irreducible plane curve with ordinary singularities at given points in general position, which improves an earlier result by Greuel, Lossen and Shustin.
Publié le : 2003-03-14
Classification:  Plane curve,  singularity,  linear system,  base condition,  14Q10,  14F17,  14C20 
@article{1116443643,
     author = {Kawahara, Tomokazu},
     title = {The existence of plane curves with prescribed singularities},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {79},
     number = {3},
     year = {2003},
     pages = { 53-58},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1116443643}
}

Kawahara, Tomokazu. The existence of plane curves with prescribed singularities. Proc. Japan Acad. Ser. A Math. Sci., Tome 79 (2003) no. 3, pp.  53-58. http://gdmltest.u-ga.fr/item/1116443643/