Google Scholar

[1] M. Atiyah, N. Hitchin, I. Singer, Self-duality in four-dimensional Riemannian geometry, Proc. Roy. Soc. London, Ser. A 362
(1978) 425–461.
Google Scholar

[2] F. Campana, The class C is not stable by small deformations, Math. Ann. 229 (1991) 19–30.
Google Scholar

[3] I. Enoki, Surfaces of class VII0 with curves, Tohoku Math. J. 33 (1981) 453–492.
Google Scholar

[4] S. K. Donaldson, R. Friedman, Connected sums of self-dual manifolds and deformations of singular spaces Non-linearlity 2
(1989) 197–239.
Google Scholar

[5] R. Friedman, D. Morrison, The birational geometry of degenerations: An overview, The birational geometry of degenerations
(R. Friedman, D. Morrison, eds.) Progress Math. 29 (1983) 1–32.
Google Scholar

[6] A. Fujiki. On the structure of compact complex manifolds in C, Adv. Stud. Pure Math. 1 (1983) 231–302.
Google Scholar

[7] A. Fujiki. Compact self-dual manifolds with torus actions, J. Differential Geom. 55 (2000) 229–324.
Google Scholar

[8] A. Fujiki, Algebraic reduction of twistor spaces of Hopf surfaces, Osaka J. Math. 37 (2000) 847–858.
Google Scholar

[9] P. Griffiths and J. Harris, “Principle of Algebraic Geometry”, Wiley-Interscience.
Google Scholar

[10] J. Hausen, Zur Klassifikation of glatter kompakter C*-Flachen, Math. Ann. 301 (1995), 763–769.
Google Scholar

[11] N. Hitchin, Linear field equations on self-dual spaces, Proc. Roy. Soc. London Ser. A 370 (1980) 173-191.
Google Scholar

[12] N. Hitchin, K¨ahlerian twistor spaces, Proc. London Math. Soc. (3) 43 (1981) 133-150.
CrossrefGoogle Scholar

[13] N. Honda and M. Itoh, A Kummer type construction of self-dual metrics on the connected sum of four complex projective
planes, J. Math. Soc. Japan 52 (2000) 139-160.
CrossrefGoogle Scholar

[14] N. Honda, Double solid twistor spaces II: general case, J. reine angew. Math. 698 (2015) 181-220.
Google Scholar

[15] E. Horikawa, Deformations of holomorphic maps III, Math. Ann. 222 (1976) 275–282.
Google Scholar

[16] M. Inoue, New surfaces with no meromorphic functions, Proc. Int. Cong. Math., Vancouver 1 (1974), 423–426.
Google Scholar

[17] D. Joyce, Explicit construction of self-dual 4-manifolds, Duke Math. J. 77 (1995) 519-552.
Google Scholar

[18] B. Kreußler and H. Kurke, Twistor spaces over the connected sum of 3 projective planes. Compositio Math. 82:25–55, 1992.
Google Scholar

[19] C. LeBrun, Y. Poon Twistors, K¨ahler manifolds, and bimeromorphic geometry II, J. Amer. Math. Soc. 5 (1992), 317–325.
Google Scholar

[20] K. Nishiguchi Degenerations of K3 surfaces, J. Math. Kyoto Univ. 82 (1988) 267–300.
Google Scholar

[21] P. Orlik, P. Wagreich, Algebraic surfaces with k*-actions, Acta Math. 138 (1977) 43–81.
Google Scholar

[22] H. Pedersen, Y. S. Poon, Self-duality and differentiable structures on the connected sum of complex projective planes, Proc.
Amer. Math. Soc. 121 (1994) 859-864.
Google Scholar

[23] Y. S. Poon, On the algebraic structure of twistor spaces, J. Differential Geom. 36 (1992), 451–491.
Google Scholar

[24] K. Ueno, Classification theory of algebraic varieties and compact complex spaces, Lect. Note Math. 439 (1975)
Google Scholar

[25] O. Zariski, The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surfaces, Ann. Math. 76
(1962), 560–615.
Google Scholar

## Comments (0)