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Semicontinuity of Kodaira dimension. (English) Zbl 0308.14002


MSC:

14C20 Divisors, linear systems, invertible sheaves
14F10 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials
14D15 Formal methods and deformations in algebraic geometry
32G05 Deformations of complex structures
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References:

[1] Shigeru Iitaka, Deformations of compact complex surfaces. II, J. Math. Soc. Japan 22 (1970), 247 – 261. · Zbl 0188.53401 · doi:10.2969/jmsj/02220247
[2] Shigeru Iitaka, On \?-dimensions of algebraic varieties, J. Math. Soc. Japan 23 (1971), 356 – 373. · Zbl 0212.53802 · doi:10.2969/jmsj/02320356
[3] Oscar Zariski, The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface, Ann. of Math. (2) 76 (1962), 560 – 615. · Zbl 0124.37001 · doi:10.2307/1970376
[4] Kenji Ueno, On Kodaira dimensions of certain algebraic varieties, Proc. Japan Acad. 47 (1971), 157 – 159. · Zbl 0226.14006
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