Extension of modifications of ample divisors on fourfolds: II

Maria Lucia FANIA

doi:10.2969/jmsj/03820285

Maria Lucia FANIA

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JOURNAL FREE ACCESS

1986 Volume 38 Issue 2 Pages 285-294

DOI https://doi.org/10.2969/jmsj/03820285

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Published: 1986 Received: February 28, 1984 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) A. Altman and S. Kleiman, Introduction to Grothendieck duality theory, Lecture Notes in Math., 146, Springer-Verlag, 1970.
2) L. Badescu, On ample divisors: II, Proc. of the “Week of Algebraic Geometry” Bucharest 1980, Teubner, Leipzig, 1981.
3) M. Cornalba, Two theorems on modifications of analytic spaces, Invent. Math., 20 (1973), 227-247.
4) M. L. Fania, Extension of modifications of ample divisors on fourfolds, J. Math. Soc. Japan, 36 (1984), 107-120.
5) M. L. Fania and A. J. Sommese, On the minimal models of hyperplane sections of Gorenstein threefolds, preprint.
6) T. Fujita, On the hyperplane section principle of Lefschetz, J. Math. Soc. Japan, 32 (1980), 153-169.
7) A. Fujiki and S. Nakano, Supplement to “On the inverse of monoidal transformations”. Publ. R. I. M. S. Kyoto Univ., 7 (1971/72), 637-644.
8) W. Fulton and R. Lazarsfeld, Connectivity and its applications in algebraic geometry, Algebraic Geometry, Lecture Notes in Math., 862, Springer-Verlag, 1981.
9) A. Grothendieck, Cohomologie locale des faisceaux coherentes et theoremes de Lefschetz locaux et globaux (SGA2), North-Holland.
10) R. Hartshorne, Algebraic Geometry, Springer-Verlag, Berlin-Heidelberg-New York, 1977.
11) R. Hartshorne, Ample subvarieties of algebraic varieties, Lecture Notes in Math., 156, Springer-Verlag, 1970.
12) H. Hironaka, Smoothing of algebraic cycles of small dimensions, Amer. J. Math., 90 (1968), 1-54.
13) S. Iitaka, On D-dimension of algebraic varieties, J. Math. Soc. Japan, 23(1971), 356-373.
14) D. Mumford, Pathologies III, Amer. J. Math., 89 (1967), 974-1025.
15) S. Nakano, On the inverse of monoidal transformations, Publ. R. I. M. S. Kyoto Uuiv., 6(1971), 483-501.
16) C. P. Ramanujam, Remarks on the Kodaira vanishing theorem, J. Indian Math. Soc., 36 (1972), 41-51.
17) A. J. Sommese, On the minimality of hyperplane sections of projective threefolds, J. Reine Angew. Math., 329 (1981), 16-41.
18) A. J. Sommese, On manifolds that cannot be ample divisors, Math. Ann., 221 (1976), 55-72.
19) A. J. Sommese, Hyperplane sections of projective surfaces: I-the adjunction mapping, Duke Math. J., 46(1979), 377-401.
20) A. J. Sommese, The birational theory of hyperplane sections of projective threefolds, manuscript (1985).
21) B. Shiffman and A. J. Sommese, Vanishing theorems on complex manifolds, Progress in Mathematics, 56, Birkhäuser, Boston, 1985.
22) K. Ueno, Classification theory of algebraic varieties and compact complex spaces, Lecture Notes in Math., 439, Springer-Verlag, 1975.

Right : [1] A. Altman and S. Kleiman, Introduction to Grothendieck duality theory, Lecture Notes in Math., 146, Springer-Verlag, 1970.
[2] L. Badescu, On ample divisors: II, Proc. of the “Week of Algebraic Geometry” Bucharest 1980, Teubner, Leipzig, 1981.
[3] M. Cornalba, Two theorems on modifications of analytic spaces, Invent. Math., 20 (1973), 227-247.
[4] M. L. Fania, Extension of modifications of ample divisors on fourfolds, J. Math. Soc. Japan, 36 (1984), 107-120.
[5] M. L. Fania and A. J. Sommese, On the minimal models of hyperplane sections of Gorenstein threefolds, preprint.
[6] T. Fujita, On the hyperplane section principle of Lefschetz, J. Math. Soc. Japan, 32 (1980), 153-169.
[7] A. Fujiki and S. Nakano, Supplement to “On the inverse of monoidal transformations”. Publ. R. I. M. S. Kyoto Univ., 7 (1971/72), 637-644.
[8] W. Fulton and R. Lazarsfeld, Connectivity and its applications in algebraic geometry, Algebraic Geometry, Lecture Notes in Math., 862, Springer-Verlag, 1981.
[9] A. Grothendieck, Cohomologie locale des faisceaux coherentes et theoremes de Lefschetz locaux et globaux (SGA2), North-Holland.
[10] R. Hartshorne, Algebraic Geometry, Springer-Verlag, Berlin-Heidelberg-New York, 1977.
[11] R. Hartshorne, Ample subvarieties of algebraic varieties, Lecture Notes in Math., 156, Springer-Verlag, 1970.
[12] H. Hironaka, Smoothing of algebraic cycles of small dimensions, Amer. J. Math., 90 (1968), 1-54.
[13] S. Iitaka, On D-dimension of algebraic varieties, J. Math. Soc. Japan, 23 (1971), 356-373.
[14] D. Mumford, Pathologies III, Amer. J. Math., 89 (1967), 974-1025.
[15] S. Nakano, On the inverse of monoidal transformations, Publ. R. I. M. S. Kyoto Uuiv., 6 (1971), 483-501.
[16] C. P. Ramanujam, Remarks on the Kodaira vanishing theorem, J. Indian Math. Soc., 36 (1972), 41-51.
[17] A. J. Sommese, On the minimality of hyperplane sections of projective threefolds, J. Reine Angew. Math., 329 (1981), 16-41.
[18] A. J. Sommese, On manifolds that cannot be ample divisors, Math. Ann., 221 (1976), 55-72.
[19] A. J. Sommese, Hyperplane sections of projective surfaces: I-the adjunction mapping, Duke Math. J., 46 (1979), 377-401.
[20] A. J. Sommese, The birational theory of hyperplane sections of projective threefolds, manuscript (1985).
[21] B. Shiffman and A. J. Sommese, Vanishing theorems on complex manifolds, Progress in Mathematics, 56, Birkhäuser, Boston, 1985.
[22] K. Ueno, Classification theory of algebraic varieties and compact complex spaces, Lecture Notes in Math., 439, Springer-Verlag, 1975.

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