Examples of degenerations of Castelnuovo surfaces

Tadashi ASHIKAGA; Kazuhiro KONNO

doi:10.2969/jmsj/04320229

Tadashi ASHIKAGA, Kazuhiro KONNO

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JOURNAL FREE ACCESS

1991 Volume 43 Issue 2 Pages 229-246

DOI https://doi.org/10.2969/jmsj/04320229

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Published: 1991 Received: May 14, 1990 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: AFFILIATION Details: Wrong :
1) Department of Applied Physics Faculty of Engineering Tohoku Gakuin University
2) Department of Mathematics College of General Education Kyushu University

Right :
1) Department of Applied Physics Faculty of Engineering Tôhoku Gakuin University
2) Department of Mathematics College of General Education Kyushu University

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) T. Ashikaga and K. Konno, Algebraic surfaces of general type with c²₁=3p_g-7, Tohoku Math. J., 42 (1990), 517-536.
2) W. Barth, C. Peters and A, van de Ven, Compact Complex Surfaces, Ergeb. Math. Grenzeb. (3) Band 4, Springer-Verlag, 1984.
3) C.H. Clemens, Degenerations of Kähler manifolds, Duke Math. J., 44 (1977), 215-290.
4) R. Friedman, A degenerating family of quintic surfaces with trivial monodromy, Duke Math. J., 50 (1983), 203-214.
5) E. Horikawa, On deformations of quintic surfaces, Invent. Math., 31 (1975), 43-85.
6) E. Horikawa, Algebraic surfaces of general type with small c²₁, I, Ann. of Math., 104 (1976), 357-387.
7) J. Morgan, Topological triviality of various analytic families, Duke Math. J., 50(1983), 215-225.
8) D. Morrison, The Clemens-Schmidt exact sequence and application, Topics in Transcendental Algebraic Geometry, Ann, of Math. Stud., 106, Princeton Uuiv. Press, 1984.
9) K. Saito, Einfach-elliptische singularitäten, Invest. Math., 23 (1974), 289-325.
10) M. Tomari, A p_g-formula and elliptic singularities, Publ. Res. Inst. Math. Sci., Kyoto Univ., 21 (1985), 297-354.
11) S. Usui, Type I degeneration of Kunev surfaces, Astérisque 179, 180 (1989), 185-243.
12) S. Usui, Manuscripts, August 1987.
13) J. Wavrik, Deformations of branch coverings of complex manifolds, Amer. J. Math., 90 (1968), 926-960.

Right : [1] T. Ashikaga and K. Konno, Algebraic surfaces of general type with c²₁=3p_g-7, Tôhoku Math. J., 42 (1990), 517-536.
[2] W. Barth, C. Peters and A. van de Ven, Compact Complex Surfaces, Ergeb. Math. Grenzeb. (3) Band 4, Springer-Verlag, 1984.
[3] C. H. Clemens, Degenerations of Kähler manifolds, Duke Math. J., 44 (1977), 215-290.
[4] R. Friedman, A degenerating family of quintic surfaces with trivial monodromy, Duke Math. J., 50 (1983), 203-214.
[5] E. Horikawa, On deformations of quintic surfaces, Invent. Math., 31 (1975), 43-85.
[6] E. Horikawa, Algebraic surfaces of general type with small c²₁, I, Ann. of Math., 104 (1976), 357-387.
[7] J. Morgan, Topological triviality of various analytic families, Duke Math. J., 50 (1983), 215-225.
[8] D. Morrison, The Clemens-Schmidt exact sequence and application, Topics in Transcendental Algebraic Geometry, Ann. of Math. Stud., 106, Princeton Uuiv. Press, 1984.
[9] K. Saito, Einfach-elliptische singularitäten, Invest. Math., 23 (1974), 289-325.
[10] M. Tomari, A p_g-formula and elliptic singularities, Publ. Res. Inst. Math. Sci., Kyoto Univ., 21 (1985), 297-354.
[11] S. Usui, Type I degeneration of Kunev surfaces, Astérisque 179, 180 (1989), 185-243.
[12] S. Usui, Manuscripts, August 1987.
[13] J. Wavrik, Deformations of branch coverings of complex manifolds, Amer. J. Math., 90 (1968), 926-960.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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