Greenberg, Ralph On the Jacobian variety of some algebraic curves. (English) Zbl 0475.14026 Compos. Math. 42, 345-359 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 17 Documents MSC: 14H40 Jacobians, Prym varieties 11R18 Cyclotomic extensions 14H45 Special algebraic curves and curves of low genus 11R32 Galois theory Keywords:algebraic curve; Jacobian variety; group of rational points; points of p- power order PDF BibTeX XML Cite \textit{R. Greenberg}, Compos. Math. 42, 345--359 (1981; Zbl 0475.14026) Full Text: Numdam EuDML References: [1] E. Artin and H. Hasse : Die beiden Erganzungssatze zum Reziprozitatsgesetz der ln-ten Potenzreste im Korper der n-ten Finheitswurzeln . Abh. Math. Sem. Univ. Hamburg 6 (1928) 146-162. · JFM 54.0191.05 [2] A. Brumer : On the units of algebraic number fields . Mathematika 14 (1967) 121-124. · Zbl 0171.01105 · doi:10.1112/S0025579300003703 [3] B. Gross and D. Rohrlich : Some Results on the Mordell-Weil Group of the Jacobian of the Fermat Curve . Inventiones, Math. 44 (1978) 201-224. · Zbl 0369.14011 · doi:10.1007/BF01403161 · eudml:142528 [4] K. Iwasawa : On Zl-extensions of algebraic number fields . Ann. of Math. 98 (1973) 246-326. · Zbl 0285.12008 · doi:10.2307/1970784 [5] K. Iwasawa : A note on cyclotomic fields . Inventiones Math. 36 (1976) 115-123. · Zbl 0342.12004 · doi:10.1007/BF01390006 · eudml:142415 [6] K. Iwasawa : A note on Jacobi sums , Symposia Mathematica, Vol.15 (1975), 447-459. · Zbl 0324.12007 [7] W. Johnson : Irregular primes and cyclotomic invariants . Math. Comp. 29 (1975) 113-120. · Zbl 0302.10020 · doi:10.2307/2005468 [8] N. Koblitz and D. Rohrlich : Simple Factors in the Jacobian of a Fermat curve , (to appear in Canadian Journ. of Math.). · Zbl 0399.14023 · doi:10.4153/CJM-1978-099-6 [9] G. Shimura and Y. Taniyama : Complex Multiplication of Abelian Varieties and its Applications to Number Theory . Tokyo, Math. Soc. Japan 1961. · Zbl 0112.03502 [10] S. Wagstaff : The Irregular Primes to 125000 . Math. Comp. 32 (1978) 583-591. · Zbl 0377.10002 · doi:10.2307/2006167 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.