Height pairings for algebraic cycles on abelian varieties

Klaus Künnemann

Annales scientifiques de l'École Normale Supérieure (2001)

  • Volume: 34, Issue: 4, page 503-523
  • ISSN: 0012-9593

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Künnemann, Klaus. "Height pairings for algebraic cycles on abelian varieties." Annales scientifiques de l'École Normale Supérieure 34.4 (2001): 503-523. <http://eudml.org/doc/82549>.

@article{Künnemann2001,
author = {Künnemann, Klaus},
journal = {Annales scientifiques de l'École Normale Supérieure},
language = {eng},
number = {4},
pages = {503-523},
publisher = {Elsevier},
title = {Height pairings for algebraic cycles on abelian varieties},
url = {http://eudml.org/doc/82549},
volume = {34},
year = {2001},
}

TY - JOUR
AU - Künnemann, Klaus
TI - Height pairings for algebraic cycles on abelian varieties
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2001
PB - Elsevier
VL - 34
IS - 4
SP - 503
EP - 523
LA - eng
UR - http://eudml.org/doc/82549
ER -

References

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  1. [1] Beilinson A.A., Height pairings between algebraic cycles, in: Manin Yu.I. (Ed.), K-theory, Arithmetic and Geometry, Moscow 1984–86, Lect. Notes Math., 1289, Springer, Berlin, 1987, pp. 1-25, and Contemp. Math. 67 (1987) 1–24. Zbl0651.14002
  2. [2] Bloch S., Height pairings for algebraic cycles, J. Pure Appl. Algebra34 (1984) 119-145. Zbl0577.14004MR772054
  3. [3] Bloch S., Gillet H., Soulé C., Cycles on degenerate fibers, in: Arithmetic Geometry (Cortona, 1994), Sympos. Math. XXXVII, Cambridge Univ. Press, Cambridge, 1997, pp. 45-69. Zbl0955.14007MR1472491
  4. [4] Deligne P., La conjecture de Weil II, Publ. Math. I.H.E.S.52 (1981) 313-428. Zbl0456.14014MR601520
  5. [5] Faltings G., Chai C.-L., Degenerations of Abelian Varieties, Springer, Berlin, 1990. Zbl0744.14031MR1083353
  6. [6] Fulton W., MacPherson R., Sottile F., Sturmfels B., Intersection theory on spherical varieties, J. Algebraic Geometry4 (1995) 181-193. Zbl0819.14019MR1299008
  7. [7] Fulton W., Intersection Theory, Springer, Berlin, 1984. Zbl0541.14005MR732620
  8. [8] Fulton W., Introduction to Toric Varieties, Annals of Mathematics Studies, 131, Princeton University Press, Princeton, NJ, 1993. Zbl0813.14039MR1234037
  9. [9] Gillet H., Soulé C., Intersection theory using Adams operations, Invent. Math.90 (1987) 243-278. Zbl0632.14009MR910201
  10. [10] Gillet H., Soulé C., Arithmetic intersection theory, Publ. Math. I.H.E.S.72 (1990) 94-174. Zbl0741.14012MR1087394
  11. [11] Künnemann K., Higher Picard varieties and the height pairing, Amer. J. Math.118 (1996) 781-797. Zbl0876.14006MR1400059
  12. [12] Künnemann K., Projective regular models for abelian varieties, semi-stable reduction, and the height pairing, Duke Math. J.95 (1998) 161-212. Zbl0955.14017MR1646554
  13. [13] Künnemann K., The Kähler identity for bigraded Hodge–Lefschetz modules and its application in non-archimedean Arakelov geometry, J. Algebraic Geometry7 (1998) 651-672. Zbl0954.14017
  14. [14] Künnemann K., Algebraic cycles on toric fibrations over abelian varieties, Math. Z.232 (1999) 427-435. Zbl0956.14004MR1719702

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