Higher jacobians and cycles on abelian varieties

J. H. Sampson

Compositio Mathematica (1982)

  • Volume: 47, Issue: 2, page 133-147
  • ISSN: 0010-437X

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Sampson, J. H.. "Higher jacobians and cycles on abelian varieties." Compositio Mathematica 47.2 (1982): 133-147. <http://eudml.org/doc/89563>.

@article{Sampson1982,
author = {Sampson, J. H.},
journal = {Compositio Mathematica},
keywords = {algebraicity of cycles; harmonic forms of type (p,p); Hodge conjecture; polarized Abelian variety; higher Jacobian},
language = {eng},
number = {2},
pages = {133-147},
publisher = {Martinus Nijhoff Publishers},
title = {Higher jacobians and cycles on abelian varieties},
url = {http://eudml.org/doc/89563},
volume = {47},
year = {1982},
}

TY - JOUR
AU - Sampson, J. H.
TI - Higher jacobians and cycles on abelian varieties
JO - Compositio Mathematica
PY - 1982
PB - Martinus Nijhoff Publishers
VL - 47
IS - 2
SP - 133
EP - 147
LA - eng
KW - algebraicity of cycles; harmonic forms of type (p,p); Hodge conjecture; polarized Abelian variety; higher Jacobian
UR - http://eudml.org/doc/89563
ER -

References

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  1. [1] M. Baldassarri: Algebraic Varieties, Ergebnisse der Math. Springer, Berlin, 1956. Zbl0075.15901MR82172
  2. [2] A. Comessatti: Sugl'indici di singolarità a più dimensioni delle varietà abeliane. Rend. del Seminario Mat. della Univ. di Padova5 (1934) 50. Zbl0009.32501JFM60.1059.01
  3. [3] W.V.D. Hodge: The Theory and Applications of Harmonic Integrals. Cambridge, 1952. Zbl0048.15702MR51571
  4. [4] W.V.D. Hodge and D. Pedoe: Methods of Algebraic Geometry. Cambridge, 1946. Zbl0055.38705
  5. [5] S. Lang: Abelian Varieties. Interscience, New York, 1959. Zbl0098.13201MR106225
  6. [6] S Lefschetz: L'Analysis Situs et la Géométrie Algébrique. Paris, 1950. Zbl0035.10202
  7. [7] A. Mattuck: Cycles on abelian varieties. Proc. Amer. Math. Soc.9 (1958) 88-98. Zbl0118.37301MR98752
  8. [8] D Mumford: Abelian Varieties. Oxford, 1970. Zbl0223.14022MR282985
  9. [9] C.L. Siegel: Analytic Functions of Several Complex Variables. Inst. for Advanced Studt, Princeton, 1949. Zbl0036.05004MR34847
  10. [10] A. Weil: On Picard varieties. Amer. J. Math.74 (1952) 865-893. Zbl0048.38302MR50330
  11. [11] A. Weil: Théorèmes fondamentaux de la théorie des fonctions thêta. Sém. Bourbaki1948/1949 Exposé 16. Zbl0111.27603
  12. [12] A. Weil: Variétés Kählériennes. Hermann, Paris, 1958. Zbl0137.41103MR111056

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