@article{ASENS_2001_4_34_4_503_0, author = {K\"unnemann, Klaus}, title = {Height pairings for algebraic cycles on abelian varieties}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {503--523}, publisher = {Elsevier}, volume = {Ser. 4, 34}, number = {4}, year = {2001}, doi = {10.1016/s0012-9593(01)01068-0}, mrnumber = {1852008}, zbl = {1073.14527}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/s0012-9593(01)01068-0/} }
TY - JOUR AU - Künnemann, Klaus TI - Height pairings for algebraic cycles on abelian varieties JO - Annales scientifiques de l'École Normale Supérieure PY - 2001 SP - 503 EP - 523 VL - 34 IS - 4 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/s0012-9593(01)01068-0/ DO - 10.1016/s0012-9593(01)01068-0 LA - en ID - ASENS_2001_4_34_4_503_0 ER -
%0 Journal Article %A Künnemann, Klaus %T Height pairings for algebraic cycles on abelian varieties %J Annales scientifiques de l'École Normale Supérieure %D 2001 %P 503-523 %V 34 %N 4 %I Elsevier %U http://archive.numdam.org/articles/10.1016/s0012-9593(01)01068-0/ %R 10.1016/s0012-9593(01)01068-0 %G en %F ASENS_2001_4_34_4_503_0
Künnemann, Klaus. Height pairings for algebraic cycles on abelian varieties. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 34 (2001) no. 4, pp. 503-523. doi : 10.1016/s0012-9593(01)01068-0. http://archive.numdam.org/articles/10.1016/s0012-9593(01)01068-0/
[1] Height pairings between algebraic cycles, in: (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. | Zbl
,[2] Height pairings for algebraic cycles, J. Pure Appl. Algebra 34 (1984) 119-145. | MR | Zbl
,[3] Cycles on degenerate fibers, in: Arithmetic Geometry (Cortona, 1994), Sympos. Math. XXXVII, Cambridge Univ. Press, Cambridge, 1997, pp. 45-69. | MR | Zbl
, , ,[4] La conjecture de Weil II, Publ. Math. I.H.E.S. 52 (1981) 313-428. | Numdam | MR | Zbl
,[5] Degenerations of Abelian Varieties, Springer, Berlin, 1990. | MR | Zbl
, ,[6] Intersection theory on spherical varieties, J. Algebraic Geometry 4 (1995) 181-193. | MR | Zbl
, , , ,[7] Intersection Theory, Springer, Berlin, 1984. | MR | Zbl
,[8] Introduction to Toric Varieties, Annals of Mathematics Studies, 131, Princeton University Press, Princeton, NJ, 1993. | MR | Zbl
,[9] Intersection theory using Adams operations, Invent. Math. 90 (1987) 243-278. | MR | Zbl
, ,[10] Arithmetic intersection theory, Publ. Math. I.H.E.S. 72 (1990) 94-174. | Numdam | MR | Zbl
, ,[11] Higher Picard varieties and the height pairing, Amer. J. Math. 118 (1996) 781-797. | MR | Zbl
,[12] Projective regular models for abelian varieties, semi-stable reduction, and the height pairing, Duke Math. J. 95 (1998) 161-212. | MR | Zbl
,[13] The Kähler identity for bigraded Hodge-Lefschetz modules and its application in non-archimedean Arakelov geometry, J. Algebraic Geometry 7 (1998) 651-672. | Zbl
,[14] Algebraic cycles on toric fibrations over abelian varieties, Math. Z. 232 (1999) 427-435. | MR | Zbl
,Cité par Sources :