Subvarieties of the matrix variety of second order
β Scribed by Dimitre Tzigantchev
- Publisher
- Springer Milan
- Year
- 2000
- Tongue
- Italian
- Weight
- 75 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0009-725X
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π SIMILAR VOLUMES
Let X be a Ξ΄-variety over some Ξ΄-field . Denote by td Ξ΄ X/ , or simply td Ξ΄ X if the ground field is understood, the Ξ΄-transcendental degree of X over . Suppose td Ξ΄ X = d; Johnson [Comment. Math. Helv. 44 (1969), 207-216] showed that there is an increasing chain of Ξ΄-subvarieties of length Οd in X.
Extending Ullmo-Zhang's result on the Bogomolov conjecture, we give conditions that a closed subvariety of an abelian variety A defined over a number field is isomorphic to an abelian variety in terms of the value distribution of a Neron-Tate height function on the subvariety. As a corollary of the