We study the arithmetic aspects of the finite group of extensions of abelian varieties defined over a number field. In particular, we establish relations with congruences between modular forms and special values of L-functions.
Extensions of abelian varieties defined over a finite field
β Scribed by J. S. Milne
- Publisher
- Springer-Verlag
- Year
- 1968
- Tongue
- English
- Weight
- 782 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0020-9910
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
This paper was written at the University of Massachusetts at Amherst. We thank the working seminar on Shimura varieties there for patiently listening to us as we worked through these results. Our thanks also go to R. Schoof for his encouragement and suggestions, as well as to our anonymous (but inva
Let A be a supersingular abelian variety over a finite field k which is k-isogenous to a power of a simple abelian variety over k. Write the characteristic polynomial of the Frobenius endomorphism of A relative to k as f = g e for a monic irreducible polynomial g and a positive integer e. We show th