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
Isogeny Classes of Hilbert–Blumenthal Abelian Varieties over Finite Fields
✍ Scribed by Jeffrey D. Achter; Clifton L.R. Cunningham
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 244 KB
- Volume
- 92
- Category
- Article
- ISSN
- 0022-314X
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✦ Synopsis
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 invaluable) referee.
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