Expanding endomorphisms of flat manifolds
β Scribed by David Epstein; Michael Shub
- Publisher
- Elsevier Science
- Year
- 1968
- Tongue
- English
- Weight
- 215 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0040-9383
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π SIMILAR VOLUMES
## Abstract It is conjectured that a Fano manifold __X__ of Picard number 1 which is not a projective space admits no endomorphisms of degree bigger than 1. Beauville confirmed this for hypersurfaces of projective space. We study this problem when __X__ is given by a hypersurface of an arbitrary Fa
This note tries to decide which groups can occur as fundamental groups of complete afhnely flat manifolds. THEOREM 1.2. If a group is torsion-free and contains a polycylic subgroup of finite index, then it is isomorphic to the fundamental group TTJM) for some complete a&ely jut manifold M. For defi