Systèmes linéaires de courbes planes à singularités ordinaires imposées
Mignon, Thierry
HAL, hal-00818394 / Harvested from HAL
Text on HAL
We study the irreducibility and the smoothness of the generic plane curve of degree d passing through r generic points with prescribed multiplicities mi. We prove that, under the assumptions that the multiplicities are at most 3 and the degree is high enough, these curves are irreducible and smooth away from the prescribed singularities.
Publié le : 1998-07-05
Classification:  courbes planes,  singularités,  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG] 
@article{hal-00818394,
     author = {Mignon, Thierry},
     title = {Syst\`emes lin\'eaires de courbes planes \`a singularit\'es ordinaires impos\'ees},
     journal = {HAL},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/hal-00818394}
}

Mignon, Thierry. Systèmes linéaires de courbes planes à singularités ordinaires imposées. HAL, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/hal-00818394/