Intersection de courbes planes et construction de courbes à singularités ordinaires
Mignon, Thierry
HAL, hal-00818373 / Harvested from HAL
Text on HAL
In this article, we study the generic curve of the linear system E of plane curves of degree d passing through r generic points with at least prescribed multiplicities m1,...,mr. Assuming that the mi are less than or equal to three and that the degree d is greater than 316 we prove that, if E is not empty, then its generic curve is geometrically irreducible, smooth away from the prescribed singularities and has only ordinary singularities.
Publié le : 2000-07-05
Classification:  plane curves,  singularities,  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG] 
@article{hal-00818373,
     author = {Mignon, Thierry},
     title = {Intersection de courbes planes et construction de courbes \`a singularit\'es ordinaires},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00818373}
}

Mignon, Thierry. Intersection de courbes planes et construction de courbes à singularités ordinaires. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00818373/