Dirichlet motives via modular curves

Annette Huber; Guido Kings

Annales scientifiques de l'École Normale Supérieure (1999)

  • Volume: 32, Issue: 3, page 313-345
  • ISSN: 0012-9593

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Huber, Annette, and Kings, Guido. "Dirichlet motives via modular curves." Annales scientifiques de l'École Normale Supérieure 32.3 (1999): 313-345. <http://eudml.org/doc/82490>.

@article{Huber1999,
author = {Huber, Annette, Kings, Guido},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Dirichlet motives; modular curves; motivic cohomology; Hodge structures; Galois modules; Tate motives; Beilinson’s conjecture for Dirichlet -functions},
language = {eng},
number = {3},
pages = {313-345},
publisher = {Elsevier},
title = {Dirichlet motives via modular curves},
url = {http://eudml.org/doc/82490},
volume = {32},
year = {1999},
}

TY - JOUR
AU - Huber, Annette
AU - Kings, Guido
TI - Dirichlet motives via modular curves
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1999
PB - Elsevier
VL - 32
IS - 3
SP - 313
EP - 345
LA - eng
KW - Dirichlet motives; modular curves; motivic cohomology; Hodge structures; Galois modules; Tate motives; Beilinson’s conjecture for Dirichlet -functions
UR - http://eudml.org/doc/82490
ER -

References

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  6. [De1] C. DENINGER, Higher regulators and Hecke L-series of imaginary quadratic fields. II, Ann. Math., II. Ser. 132, No. 1, 131-158 (1990). Zbl0721.14005MR91i:19003
  7. [De2] C. DENINGER, Extensions of motives associated to symmetric powers of elliptic curves and to Hecke characters of imaginary quadratic fields, in : F. Catanese (ed.) : Proc. Arithmetic Geometry, Cortona, 1994, Cambridge University Press, 1997, pp. 99-137. Zbl0888.14002MR98i:11043
  8. [Den-Sch] C. DENINGER and A. J. SCHOLL, The Beilinson conjecture in : J. Coates, M.J. Taylor (eds.) : L-functions and Arithmetic. London Math. Soc. LNS 153 (1991). Zbl0729.14002MR92h:11056
  9. [Es] H. ESNAULT, On the Loday Symbol in the Deligne-Beilinson Cohomology, K-Theory 3, 1989, pp. 1-28. Zbl0697.14006MR90j:14025
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  15. [HuW] A. HUBER and J. WILDESHAUS, Classical motivic polylogarithm according to Beilinson and Deligne, Doc. Math. J. DMV 3, 1998, pp. 27-133. Zbl0906.19004MR99k:19001a
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  18. [Ki2] G. KINGS, Extensions of motives associated to K-theory elements for Hilbert modular forms, J. reine angew. Math. 503, 1998, pp. 109-128. Zbl0913.11024MR99g:11078
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