Varieties of Z-groups with infinite axiomatic rank
β Scribed by S. A. Gurchenkov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1985
- Tongue
- English
- Weight
- 321 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0037-4466
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π SIMILAR VOLUMES
asked if every Abelian variety A defined over a number field k with dim A > 0 has infinite rank over the maximal Abelian extension k ab of k. We verify this for the Jacobians of cyclic covers of P 1 , with no hypothesis on the Weierstrass points or on the base field. We also derive an infinite rank
If W is a rank 3 Coxeter group, whose Coxeter diagram contains at least one infinite bond, then the automorphism group of W is larger than the group generated by the inner automorphisms and the automorphisms induced from automorphisms of the Coxeter diagram. In each case the automorphism group of W