previous :: next
Rank one elliptic $A$-modules and $A$-harmonic series
Greg W. Anderson
Source: Duke Math. J. Volume 73, Number 3
(1994), 491-542.
First Page:
Show
Hide
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077289014
Mathematical Reviews number (MathSciNet): MR1262925
Zentralblatt MATH identifier: 0807.11032
Digital Object Identifier: doi:10.1215/S0012-7094-94-07321-3
References
[1] G. W. Anderson, A two-dimensional analogue of Stickelberger's theorem, The Arithmetic of Function Fields (Columbus, OH, 1991) eds. D. Gross, D. R. Hayes, and M. I. Rosen, Ohio State Univ. Math. Res. Inst. Publ., vol. 2, W. de Gruyter, Berlin, 1992, pp. 51–73.
Mathematical Reviews (MathSciNet): MR94a:11183
Zentralblatt MATH: 0797.11056
[2] G. W. Anderson and D. Thakur, Tensor powers of the Carlitz module and zeta values, Ann. of Math. (2) 132 (1990), no. 1, 159–191.
Mathematical Reviews (MathSciNet): MR91h:11046
Zentralblatt MATH: 0713.11082
Digital Object Identifier: doi:10.2307/1971503
JSTOR: links.jstor.org
[3] L. Carlitz, On certain functions connected with polynomials in a Galois field, Duke Math. J. 1 (1935), 137–168.
Zentralblatt MATH: 0012.04904
Mathematical Reviews (MathSciNet): MR1545872
Digital Object Identifier: doi:10.1215/S0012-7094-35-00114-4
Project Euclid: euclid.dmj/1077488973
[4] V. Drinfeld, Elliptic modules, Mat. Sb. (N.S.) 94(136) (1974), 594–627, 656.
Mathematical Reviews (MathSciNet): MR52:5580
Zentralblatt MATH: 0321.14014
[5] V. Drinfeld, Commutative subrings of certain noncommutative rings, Funkcional. Anal. i Priložen. 11 (1977), no. 1, 11–14, 96.
Mathematical Reviews (MathSciNet): MR57:16290
Zentralblatt MATH: 0368.14011
[6] F. Ducrot, Fibré déterminant et courbes relatives, Bull. Soc. Math. France 118 (1990), no. 3, 311–361.
Mathematical Reviews (MathSciNet): MR91k:14019
Zentralblatt MATH: 0742.14038
[7] J. Fay, Theta Functions on Riemann Surfaces, LNM, vol. 352, Springer-Verlag, Berlin, 1973.
Mathematical Reviews (MathSciNet): MR49:569
Zentralblatt MATH: 0281.30013
[8] J. Fay, On the even-order vanishing of Jacobian theta functions, Duke Math. J. 51 (1984), no. 1, 109–132.
Mathematical Reviews (MathSciNet): MR86h:14025
Zentralblatt MATH: 0583.14017
Digital Object Identifier: doi:10.1215/S0012-7094-84-05106-8
Project Euclid: euclid.dmj/1077303670
[9] P. Griffiths and J. Harris, Principles of Algebraic Geometry, Wiley, New York, 1978.
Mathematical Reviews (MathSciNet): MR80b:14001
Zentralblatt MATH: 0408.14001
[10] A. Grothendieck, Technique de descente et théorème en géométrie algébrique. V. Les schémas de Picard: Théorèmes d'existence, Séminaire Bourbaki, vol. 13, 1961/2.
[11] D. Hayes, Explicit class field theory in global function fields, Studies in Algebra and Number Theory ed. G. C. Rota, Adv. in Math. Suppl. Stud., vol. 6, Academic Press, New York, 1979, pp. 173–217.
Mathematical Reviews (MathSciNet): MR81d:12011
Zentralblatt MATH: 0476.12010
[12] D. Hayes, The refined $\germ p$-adic abelian Stark conjecture in function fields, Invent. Math. 94 (1988), no. 3, 505–527.
Mathematical Reviews (MathSciNet): MR89k:11116
Zentralblatt MATH: 0666.12009
Digital Object Identifier: doi:10.1007/BF01394274
[13] D. Hayes, A brief introduction to Drinfeld modules, The Arithmetic of Function Fields (Columbus, OH, 1991) eds. D. Goss, D. R. Hayes, and M. I. Rosen, Ohio State Univ. Math. Res. Inst. Publ., vol. 2, W. de Gruyter, Berlin, 1992, pp. 1–32.
Mathematical Reviews (MathSciNet): MR93m:11050
Zentralblatt MATH: 0793.11015
[14] F. Knudsen and D. Mumford, The projectivity of the moduli space of stable curves. I. Preliminaries on “det” and “Div”, Math. Scand. 39 (1976), no. 1, 19–55.
Mathematical Reviews (MathSciNet): MR55:10465
Zentralblatt MATH: 0343.14008
[15] I. G. Macdonald, Symmetric Functions and Hall Polynomials, Clarendon Press, Oxford, 1979.
Mathematical Reviews (MathSciNet): MR84g:05003
Zentralblatt MATH: 0487.20007
[16] J. S. Milne, Jacobian varieties, Arithmetic Geometry (Storrs, Conn., 1984) eds. G. Cornell and J. Silverman, Springer-Verlag, New York, 1986, pp. 167–212.
Mathematical Reviews (MathSciNet): MR861976
Zentralblatt MATH: 0604.14018
[17] L. Moret-Bailly, Métriques permises, Astérisque (1985), no. 127, 29–87.
Mathematical Reviews (MathSciNet): MR801918
[18] D. Mumford, An algebro-geometric construction of commuting operators and of solutions to the Toda lattice equation, Korteweg- deVries equation, and related nonlinear equation, Proceedings of the International Symposium on Algebraic Geometry (Kyoto Univ., Kyoto, 1977) ed. M. Nagata, Kinokuniya, Tokyo, 1978, pp. 115–153.
Mathematical Reviews (MathSciNet): MR83j:14041
Zentralblatt MATH: 0423.14007
[19] D. Mumford, Abelian Varieties, TIFR Studies in Mathematics, vol. 4, Oxford University Press, Oxford, 1970.
Mathematical Reviews (MathSciNet): MR44:219
Zentralblatt MATH: 0223.14022
[20] G. Segal and G. Wilson, Loop groups and equations of KdV type, Inst. Hautes Études Sci. Publ. Math. (1985), no. 61, 5–65.
Mathematical Reviews (MathSciNet): MR87b:58039
Zentralblatt MATH: 0592.35112
Digital Object Identifier: doi:10.1007/BF02698802
[21] J. Tate, Les Conjectures de Stark sur les Fonctions $L$ d'Artin en $s=0$, Progress in Mathematics, vol. 47, Birkhäuser, Boston, 1984.
Mathematical Reviews (MathSciNet): MR86e:11112
Zentralblatt MATH: 0545.12009
[22] D. Thakur, 1990, Letter to author dated April 24.
[23] D. Thakur, 1992, Letter to author dated December 14.
[24] D. Thakur, Drinfeld modules and arithmetic in the function fields, Internat. Math. Res. Notices (1992), no. 9, 185–197.
Mathematical Reviews (MathSciNet): MR93g:11061
Zentralblatt MATH: 0756.11015
Digital Object Identifier: doi:10.1155/S1073792892000217
[25] D. Thakur, Shtukas and Jacobi sums, Invent. Math. 111 (1993), no. 3, 557–570.
Mathematical Reviews (MathSciNet): MR94a:11086
Zentralblatt MATH: 0770.11032
Digital Object Identifier: doi:10.1007/BF01231298
previous :: next
Duke Mathematical Journal
