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Semicontinuity of L-dimension. (English) Zbl 0341.14003


MSC:

14D15 Formal methods and deformations in algebraic geometry
32G05 Deformations of complex structures
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References:

[1] Frisch, J.: Points de platitude d’un morphism d’espaces analytiques. Inventiones math.4, 118-138 (1967) · Zbl 0167.06803 · doi:10.1007/BF01425245
[2] Grauert, H.: Ein Theorem der analytischen Garbentheorie und die Modulräume komplexer Strukturen. Publ. Math. IHES5 (1960) · Zbl 0158.32901
[3] Iitaka, S.: Deformations of compact complex surfaces, I, II and III. Global Analysis, papers in honor of Kodaira, Princeton Univ. Press and Tokyo Univ. Press (1969), p. 267-272; J. Math. Soc. Japan22, 247-261 (1970); ibid.23, 692-705 (1971)
[4] Iitaka, S.: On D-dimensions of algebraic varieties. J. Math. Soc. Japan23, 356-373 (1971) · Zbl 0212.53802 · doi:10.2969/jmsj/02320356
[5] Mumford, D.: The canonical ring of an algebraic surface. Appendix to Zariski’s paper ?The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface?. Ann. of Math.76, 612-615 (1962)
[6] Riemenschneider, O.: Über die Anwendung algebraischer Methoden in der Deformationstheorie komplexer Räume. Math. Ann.187, 40-55 (1970) · Zbl 0196.09701 · doi:10.1007/BF01368159
[7] Serre, J.-P.: Fasceaux Algebriques Coherents. Ann. of Math.61, 197-278 (1955) · Zbl 0067.16201 · doi:10.2307/1969915
[8] Ueno, K.: Introduction to classification theory of algebraic varieties and compact complex spaces. Lecture Notes in Math.412, pp. 288-332. Berlin-Heidelberg-New York: Springer 1974 · Zbl 0299.14006
[9] Zariski, O., Samuel, P.: Commutative Algebra, Vol. II. New York: Van Nostrand 1960 · Zbl 0121.27801
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