On D-dimensions of algebraic varieties

Shigeru IITAKA

doi:10.2969/jmsj/02320356

Shigeru IITAKA

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1971 Volume 23 Issue 2 Pages 356-373

DOI https://doi.org/10.2969/jmsj/02320356

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Published: 1971 Received: June 29, 1970 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) H. Grauert, Ein Theorem der analytischen Garbentheorie und die Modulräume komplexer Strukturen, Publ. Math. de I. H. E. S., No. 5, (1960).
2) A. Grothendieck, Eléments de géométrie algébrique, Publ. Math. de I. H. E. S., Nos. 4, 8, 11, 17,….
3) A. Grothendieck, Séminaire de géométrie algébrique, 1960-61, I. H. E. S.
4) A. Grothendieck, Téchnique de construction en géometrie analytique complexe, Séminaire H. Cartan 13^e année: 1960-61, Families d'espaces complexes et fondements de géométrie analytique.
5) H. Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero; I, II, Ann. of Math., 79 (1964), 109-326.
6) H. Hironaka, Review of S. Kawai's paper, Math. Reviews, 466, vol. 32, No. 11 (1966), 87-88.
7) H. Hironaka, Resolution of singularities of a complex analytic variety, (French), to appear in one of the series of Lecture Notes in Mathematics, Springer-Verlag.
8) S. Iitaka, Deformations of compact complex surfaces: II, III, J. Math. Soc. Japan, 22 (1970), 247-261, to appear in J. Math. Soc. Japan.
9) S. Iitaka, On D-dimensions of algebraic varieties, Proc. Japan Acad., 46 (1970), 487-489.
10) S. Kawai, On compact complex analytic manifolds of complex dimension 3: I, II, J. Math. Soc. Japan, 17 (1965), 438-442, I, II, J. Math. Soc. Japan. 21 (1969), 604-626.
11) K. Kodaira, On the structure of compact complex analytic surfaces, I, Amer. J. Math., 86 (1964), 751-798.
12) D. B. Mumford, Geometric Invariant Theory, Springer-Verlag, Berlin, 1965.
13) L. Roth, Algebraic Threefolds, with special regard to problems of rationality, Springer-Verlag, Berlin, 1955.
14) I. Šafarevic and others, Algebraic Surfaces, (Russian), Proc. Steklov Inst. Math., Moscow, 1965.
15) O. Zariski, The theorem of Riemann-Rock for high multiples of an effective divisor on an algebraic surface, Ann. of Math., 76 (1962), 560-615.

Right : [1] H. Grauert, Ein Theorem der analytischen Garbentheorie und die Modulräume komplexer Strukturen, Publ. Math. de I. H. E. S., No. 5, (1960).
[2] A. Grothendieck, Eléments de géométrie algébrique, Publ. Math. de I. H. E. S., Nos. 4, 8, 11, 17,….
[3] A. Grothendieck, Séminaire de géométrie algébrique, 1960-61, I. H. E. S.
[4] A. Grothendieck, Téchnique de construction en géometrie analytique complexe, Séminaire H. Cartan 13^e année: 1960-61, Familles d'espaces complexes et fondements de géométrie analytique.
[5] H. Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero; I, II, Ann. of Math., 79 (1964), 109-326.
[6] H. Hironaka, Review of S. Kawai's paper, Math. Reviews, 466, vol. 32, No. 11 (1966), 87-88.
[7] H. Hironaka, Resolution of singularities of a complex analytic variety, (French), to appear in one of the series of Lecture Notes in Mathematics, Springer-Verlag.
[8] S. Iitaka, Deformations of compact complex surfaces: II, III, J. Math. Soc. Japan, 22 (1970), 247-261, to appear in J. Math. Soc. Japan.
[9] S. Iitaka, On D-dimensions of algebraic varieties, Proc. Japan Acad., 46 (1970), 487-489.
[10] S. Kawai, On compact complex analytic manifolds of complex dimension 3: I, II, J. Math. Soc. Japan, 17 (1965), 438-442, I, II, J. Math. Soc. Japan. 21 (1969), 604-626.
[11] K. Kodaira, On the structure of compact complex analytic surfaces, I, Amer. J. Math., 86 (1964), 751-798.
[12] D. B. Mumford, Geometric Invariant Theory, Springer-Verlag, Berlin, 1965.
[13] L. Roth, Algebraic Threefolds, with special regard to problems of rationality, Springer-Verlag, Berlin, 1955.
[14] I. Šafarevic and others, Algebraic Surfaces, (Russian), Proc. Steklov Inst. Math., Moscow, 1965.
[15] O. Zariski, The theorem of Riemann-Rock for high multiples of an effective divisor on an algebraic surface, Ann. of Math., 76 (1962), 560-615.

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