Geodesic
Rational curves on homogeneous cones
Documenta mathematica, Tome 9 (2004), pp. 623-637
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

A homogeneous cone X is the cone over a homogeneous variety G/P embedded thanks to an ample line bundle L. In this article, we describe the irreducible components of the scheme of morphisms of class α∈A1​(X) from a rational curve to X. The situation depends on the line bundle L : if the projectivised tangent space to the vertex contains lines then the irreducible components are described by the difference between Cartier and Weil divisors. On the contrary if there is no line in the projectivised tangent space to the vertex then there are new irreducible components corresponding to the multiplicity of the curve through the vertex.
DOI : 10.4171/dm/181
Classification : 14C05, 14M17
Mots-clés : rational curves, homogeneous cone, scheme of morphisms 
@article{10_4171_dm_181,
     author = {Nicolas Perrin},
     title = {Rational curves on homogeneous cones},
     journal = {Documenta mathematica},
     pages = {623--637},
     year = {2004},
     volume = {9},
     doi = {10.4171/dm/181},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/181/}
}
TY  - JOUR
AU  - Nicolas Perrin
TI  - Rational curves on homogeneous cones
JO  - Documenta mathematica
PY  - 2004
SP  - 623
EP  - 637
VL  - 9
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/181/
DO  - 10.4171/dm/181
ID  - 10_4171_dm_181
ER  - 
%0 Journal Article
%A Nicolas Perrin
%T Rational curves on homogeneous cones
%J Documenta mathematica
%D 2004
%P 623-637
%V 9
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/181/
%R 10.4171/dm/181
%F 10_4171_dm_181
Nicolas Perrin. Rational curves on homogeneous cones. Documenta mathematica, Tome 9 (2004), pp. 623-637. doi: 10.4171/dm/181

Cité par Sources :