previous :: next
On an elliptic analogue of Zagier’s conjecture
Jörg Wildeshaus
Source: Duke Math. J. Volume 87, Number 2
(1997), 355-407.
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/1077242150
Mathematical Reviews number (MathSciNet): MR1443532
Zentralblatt MATH identifier: 0898.14001
Digital Object Identifier: doi:10.1215/S0012-7094-97-08714-7
References
[B] A. A. Beĭ linson, Higher regulators of modular curves, Applications of algebraic $K$-theory to algebraic geometry and number theory, Part I, II (Boulder, Colo., 1983), Contemp. Math., vol. 55, Amer. Math. Soc., Providence, RI, 1986, pp. 1–34.
Mathematical Reviews (MathSciNet): MR88f:11060
Zentralblatt MATH: 0609.14006
[BD] A. A. Beĭ linson and P. Deligne, Interprétation motivique de la conjecture de Zagier reliant polylogarithmes et régulateurs, Motives (Seattle, WA, 1991) eds. U. Jannsen, S. L. Kleiman, and J.-P. Serre, Proc. Sympos. Pure Math., vol. 55, Amer. Math. Soc., Providence, RI, 1994, pp. 97–121.
Mathematical Reviews (MathSciNet): MR95a:19008
Zentralblatt MATH: 0799.19004
[BL] A. A. Beĭ linson and A. Levin, The elliptic polylogarithm, Motives (Seattle, WA, 1991), Proc. Sympos. Pure Math., vol. 55, Amer. Math. Soc., Providence, RI, 1994, pp. 123–190.
Mathematical Reviews (MathSciNet): MR94m:11067
Zentralblatt MATH: 0817.14014
[D1] P. Deligne, Formes modulaires et représentations $l$-adiques, Séminaire Bourbaki, Vol. 1968/69, Lecture Notes in Math., vol. 179, Springer- Verlag, New York, 1971, Exposé 347–363, pp. 139–172.
Zentralblatt MATH: 0206.49901
[D2] P. Deligne, La conjecture de Weil. II, Inst. Hautes Études Sci. Publ. Math. (1980), no. 52, 137–252.
Mathematical Reviews (MathSciNet): MR83c:14017
Zentralblatt MATH: 0456.14014
Digital Object Identifier: doi:10.1007/BF02684780
[DM] P. Deligne and J. S. Milne, Tannakian categories, Hodge Cycles, Motives, and Shimura Varieties eds. P. Deligne, J. S. Milne, A. Ogus, and K.-Y. Shih, Lecture Notes in Math., vol. 900, Springer-Verlag, Berlin, 1982, pp. 101–228.
Zentralblatt MATH: 0477.14004
Mathematical Reviews (MathSciNet): MR654325
[DG] M. Demazure and P. Gabriel, Groupes algébriques. Tome I: Géométrie algébrique, généralités, groupes commutatifs, Masson & Cie, Éditeur, Paris, 1970.
Mathematical Reviews (MathSciNet): MR46:1800
Zentralblatt MATH: 0203.23401
[De]1 C. Deninger, Higher regulators and Hecke $L$-series of imaginary quadratic fields. I, Invent. Math. 96 (1989), no. 1, 1–69.
Mathematical Reviews (MathSciNet): MR90f:11041
Zentralblatt MATH: 0721.14004
Digital Object Identifier: doi:10.1007/BF01393970
[De]2 C. Deninger, Higher regulators and Hecke $L$-series of imaginary quadratic fields. II, Ann. of Math. (2) 132 (1990), no. 1, 131–158.
Mathematical Reviews (MathSciNet): MR91i:19003
Zentralblatt MATH: 0721.14005
Digital Object Identifier: doi:10.2307/1971502
JSTOR: links.jstor.org
[E] T. Ekedahl, On the adic formalism, The Grothendieck Festschrift, Vol. II, Progr. Math., vol. 87, Birkhäuser Boston, Boston, MA, 1990, pp. 197–218.
Mathematical Reviews (MathSciNet): MR92b:14010
Zentralblatt MATH: 0821.14010
[G1] A. Goncharov, Polylogarithms and motivic Galois groups, Motives (Seattle, WA, 1991) eds. U. Jannsen, S. L. Kleiman, and J.-P. Serre, Proc. Sympos. Pure Math., vol. 55, Amer. Math. Soc., Providence, RI, 1994, pp. 43–96.
Mathematical Reviews (MathSciNet): MR94m:19003
Zentralblatt MATH: 0842.11043
[G2] A. Goncharov, Polylogarithms in arithmetic and geometry, Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994), Birkhäuser, Basel, 1995, pp. 374–387.
Mathematical Reviews (MathSciNet): MR97h:19010
Zentralblatt MATH: 0849.11087
[G3] A. Goncharov, The Eisenstein-Kronecker series and $L$-function of symmetric square of an elliptic curve at $s=3$, preprint, October 1995.
[GL] A. Goncharov and A. Levin, Zagier's conjecture on $L(E, 2)$, preprint, version of February, 1997.
[J1] U. Jannsen, Deligne homology, Hodge-$\scr D$-conjecture, and motives, Beĭlinson's conjectures on special values of $L$-functions eds. M. Rapoport, N. Schappacher, and P. Schneider, Perspect. Math., vol. 4, Academic Press, Boston, MA, 1988, pp. 305–372.
Mathematical Reviews (MathSciNet): MR89h:14016
Zentralblatt MATH: 0701.14019
[J2] U. Jannsen, Mixed motives and algebraic $K$-theory, Lecture Notes in Mathematics, vol. 1400, Springer-Verlag, Berlin, 1990.
Mathematical Reviews (MathSciNet): MR91g:14008
Zentralblatt MATH: 0691.14001
[Ka] M. Kashiwara, A study of variation of mixed Hodge structure, Publ. Res. Inst. Math. Sci. 22 (1986), no. 5, 991–1024.
Mathematical Reviews (MathSciNet): MR89i:32050
Zentralblatt MATH: 0621.14007
Digital Object Identifier: doi:10.2977/prims/1195177264
[L] S. Lang, Elliptic functions, Addison-Wesley Publishing Co., Inc., Reading, Mass.-London-Amsterdam, 1973.
Mathematical Reviews (MathSciNet): MR53:13117
Zentralblatt MATH: 0316.14001
[R] K. Rolshausen, Eléments explicites dans $K_2$ d'une courbe elliptique, thèse, 1996/05, Prépubl. Inst. Rech. Math. Av. Strasbourg.
[Sa]1 Morihiko Saito, Modules de Hodge polarisables, Publ. Res. Inst. Math. Sci. 24 (1988), no. 6, 849–995 (1989).
Mathematical Reviews (MathSciNet): MR90k:32038
Zentralblatt MATH: 0691.14007
Digital Object Identifier: doi:10.2977/prims/1195173930
[Sa]2 Morihiko Saito, Mixed Hodge modules, Publ. Res. Inst. Math. Sci. 26 (1990), no. 2, 221–333.
Mathematical Reviews (MathSciNet): MR91m:14014
Zentralblatt MATH: 0727.14004
Digital Object Identifier: doi:10.2977/prims/1195171082
[SS]1 N. Schappacher and A. J. Scholl, The boundary of the Eisenstein symbol, Math. Ann. 290 (1991), no. 2, 303–321.
Mathematical Reviews (MathSciNet): MR93c:11037a
Zentralblatt MATH: 0729.11027
Digital Object Identifier: doi:10.1007/BF01459247
[SS]2 N. Schappacher and A. J. Scholl, Erratum: “The boundary of the Eisenstein symbol”, Math. Ann. 290 (1991), no. 4, 815.
Mathematical Reviews (MathSciNet): MR93c:11037b
[Sn] P. Schneider, Introduction to the Beĭlinson conjectures, Beĭlinson's conjectures on special values of $L$-functions eds. M. Rapoport, N. Schappacher, and P. Schneider, Perspect. Math., vol. 4, Academic Press, Boston, MA, 1988, pp. 1–35.
Mathematical Reviews (MathSciNet): MR89g:11053
Zentralblatt MATH: 0673.14007
[S] A. J. Scholl, Motives for modular forms, Invent. Math. 100 (1990), no. 2, 419–430.
Mathematical Reviews (MathSciNet): MR91e:11054
Zentralblatt MATH: 0760.14002
Digital Object Identifier: doi:10.1007/BF01231194
[Si] J. H. Silverman, Advanced topics in the arithmetic of elliptic curves, Graduate Texts in Mathematics, vol. 151, Springer-Verlag, New York, 1994.
Mathematical Reviews (MathSciNet): MR96b:11074
Zentralblatt MATH: 0911.14015
[Sou] C. Soulé, Opérations en $K$-théorie algébrique, Canad. J. Math. 37 (1985), no. 3, 488–550.
Mathematical Reviews (MathSciNet): MR87b:18013
Zentralblatt MATH: 0575.14015
[W1] J. Wildeshaus, Mixed structures on fundamental groups, Realizations of Polylogarithms, Lecture Notes in Math., vol. 1650, Springer-Verlag, Berlin, 1997, pp. 23–76.
Mathematical Reviews (MathSciNet): MR1482233
Zentralblatt MATH: 0877.11001
[W2] J. Wildeshaus, Polylogarithmic extensions on mixed Shimura varieties, part III: The elliptic polylogarithm, Realizations of Polylogarithms, Lecture Notes in Math., vol. 1650, Springer-Verlag, Berlin, 1997, pp. 249–340.
Mathematical Reviews (MathSciNet): MR1482233
Zentralblatt MATH: 0877.11001
[W3] J. Wildeshaus, Elliptic modular units, preprint, November 1996.
previous :: next
Duke Mathematical Journal
