Elliptic curves on some homogeneous spaces

B. Pasquier; N. Perrin

Elliptic curves on some homogeneous spaces

B. Pasquier
, N. Perrin

Université de Montpellier 2
Heinrich Heine University Düsseldorf

Research output: Contribution to journal › Article › peer-review

Abstract

Let X be a minuscule homogeneous space, an odddimensional 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.

Original language	English
Pages (from-to)	679-706
Number of pages	28
Journal	Documenta Mathematica
Volume	18
Issue number	2013
Publication status	Published - 1 Jan 2013
Externally published	Yes

Keywords

Adjoint homogeneous spaces
Elliptic curves
Minuscule homogeneous spaces

Cite this

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AB - Let X be a minuscule homogeneous space, an odddimensional 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.

KW - Adjoint homogeneous spaces

KW - Elliptic curves

KW - Minuscule homogeneous spaces

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SP - 679

EP - 706

JO - Documenta Mathematica

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ER -

Elliptic curves on some homogeneous spaces

Abstract

Keywords

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Cite this