Katz, Nicholas M. Galois properties of torsion points on abelian varieties. (English) Zbl 0471.14023 Invent. Math. 62, 481-502 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 71 Documents MSC: 14K15 Arithmetic ground fields for abelian varieties 14G25 Global ground fields in algebraic geometry 14L05 Formal groups, \(p\)-divisible groups 14H52 Elliptic curves Keywords:Tate module; number of torsion points of abelian varieties PDFBibTeX XMLCite \textit{N. M. Katz}, Invent. Math. 62, 481--502 (1981; Zbl 0471.14023) Full Text: DOI EuDML References: [1] Curtis, C., Reiner, I.: Representation Theory of Finite Groups and Associative Algebras. New York: Interscience 1962 · Zbl 0131.25601 [2] Mumford, D.: Abelian Varieties. Bombay: Oxford University Press 1970 · Zbl 0223.14022 [3] Serre, J-P., Tate, J.T.: Good Reduction of Abelian Varieties. Annals Math88, 492-517 (1968) · Zbl 0172.46101 [4] Serre, J-P.: Abelianl-adic Representations And Elliptic Curves. New York and Amsterdam: W.A. Benjamin, Inc. 1968 [5] Swinnerton-Dyer, H.P.F.: Onl-adic representtions and congruences for coefficients of modular forms (II). In: Modular Functions of One Variable V-Bonn 1976. Lecture Notes 601, pp. 63-91, Berlin Heidelberg New York: Springer 1977 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.