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Subvarieties of the matrix variety of second order

✍ 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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πŸ“œ SIMILAR VOLUMES


Chains of Differential Subvarieties in a
✍ Wai Yan Pong πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 108 KB

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 Ο‰d in X.

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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