Geodesic
Elliptic curves on some homogeneous spaces
Documenta mathematica, Tome 18 (2013), pp. 679-706
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Let X be a minuscule homogeneous space, an odd-dimensional quadric, or an adjoint homogenous space of type different from A and G2​. Le C be an elliptic curve. In this paper, we prove that for d large enough, the scheme of degree d morphisms from C to X is irreducible, giving an explicit lower bound for d which is optimal in many cases.
DOI : 10.4171/dm/411
Classification : 14M15, 14N35
Mots-clés : elliptic curves, minuscule homogeneous spaces, adjoint homogeneous spaces 
@article{10_4171_dm_411,
     author = {B. Pasquier and N. Perrin},
     title = {Elliptic curves on some homogeneous spaces},
     journal = {Documenta mathematica},
     pages = {679--706},
     year = {2013},
     volume = {18},
     doi = {10.4171/dm/411},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/411/}
}
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B. Pasquier; N. Perrin. Elliptic curves on some homogeneous spaces. Documenta mathematica, Tome 18 (2013), pp. 679-706. doi: 10.4171/dm/411

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