Differential forms of the first and second kind on modular algebraic varieties

Satoshi ARIMA

doi:10.2969/jmsj/01620102

Satoshi ARIMA

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JOURNAL FREE ACCESS

1964 Volume 16 Issue 2 Pages 102-108

DOI https://doi.org/10.2969/jmsj/01620102

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Published: 1964 Received: August 26, 1963 Available on J-STAGE: September 26, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 26, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) I. Barsotti, Factor sets and differentials on abelian varieties, Trans. Amer. Math. Soc., 84 (1957), 85-108.
2) I. Barsotti, Repartitions on abelian varieties, Illinois J. Math., 2 (1958), 43-70.
3) P. Cartier, Une nouveller opération sur les formes différentielles, C. R. Acad. Sci., 244 (1957), 426-428.
4) P. Cartier, Questions de rationalité des diviseurs en géométrie algébrique, Bull. Soc. Math. France, 86 (1958), 177-251.
5) V. W. D. Hodge and M. F. Atiyah, Integrals of the second kind on an algebraic variety, Ann. of Math., 62 (1955), 56-91.
6) J. Igusa, A fundamental inequality in the theory of Picard varieties, Proc. Nat. Acad. Sci. U.S.A., 41 (1955), 317-320.
7) J. Igusa, On some problems in abstract algebraic geometry, Proc. Nat. Acad. Sci. U.S.A., 41 (1955), 964-967.
8) S. Lang, Abelian varieties, New York, Interscience Publishers, 1958.
9) M. Rosenlicht, Differentials of the second kind for algebraic function fields of one variable, Ann. of Math., 57 (1953), 517-523.
10) J.-P. Serre, Sur la topologie des variétés algébriques en caractéristique p, Symposium of Algebraic Topology, Mexico, 1956.
11) O. Zariski, An introduction to the theory of algebraic surfaces, lecture notes, Harvard University, 1957-1958.

Right : [1] I. Barsotti, Factor sets and differentials on abelian varieties, Trans. Amer. Math. Soc., 84 (1957), 85-108.
[2] I. Barsotti, Repartitions on abelian varieties, Illinois J. Math., 2 (1958), 43-70.
[3] P. Cartier, Une nouveller opération sur les formes différentielles, C. R. Acad. Sci., 244 (1957), 426-428.
[4] P. Cartier, Questions de rationalité des diviseurs en géométrie algébrique, Bull. Soc. Math. France, 86 (1958), 177-251.
[5] V. W. D. Hodge and M. F. Atiyah, Integrals of the second kind on an algebraic variety, Ann. of Math., 62 (1955), 56-91.
[6] J. Igusa, A fundamental inequality in the theory of Picard varieties, Proc. Nat. Acad. Sci. U. S. A., 41 (1955), 317-320.
[7] J. Igusa, On some problems in abstract algebraic geometry, Proc. Nat. Acad. Sci. U. S. A., 41 (1955), 964-967.
[8] S. Lang, Abelian varieties, New York, Interscience Publishers, 1958.
[9] M. Rosenlicht, Differentials of the second kind for algebraic function fields of one variable, Ann. of Math., 57 (1953), 517-523.
[10] J. -P. Serre, Sur la topologie des variétés algébriques en caractéristique p, Symposium of Algebraic Topology, Mexico, 1956.
[11] O. Zariski, An introduction to the theory of algebraic surfaces, lecture notes, Harvard University, 1957-1958.

Date of correction: September 26, 2006 Reason for correction: - Correction: PDF FILE Details: -

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