Elliptic curves on some homogeneous spaces

Details Elliptic curves on some homogeneous spaces Elliptic curves on some homogeneous spaces

2011-05-26

arxiv.org/abs/1105.5320v1

Mathematics

Algebraic Geometry

Scientific paper

Let $X$ be a minuscule homogeneous space, an odd quadric, or an adjoint
homogenous space of type different from $A$ and $G_2$. 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.

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