𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Extensions of abelian varieties defined over a finite field

✍ 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.


πŸ“œ SIMILAR VOLUMES


Extensions of abelian varieties defined
✍ Matthew A. Papanikolas; Niranjan Ramachandran πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 255 KB

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.

Isogeny Classes of Hilbert–Blumenthal Ab
✍ Jeffrey D. Achter; Clifton L.R. Cunningham πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 244 KB

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

Group Structures of Elementary Supersing
✍ Hui June Zhu πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 176 KB

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