Abstract
We outline here an exposition of the transcendental work of Kodaira {see Kodaira [5], pp. 108–128}, which extends to higher varieties some classical results for surfaces, in particular those concerning the deficiencies of linear systems, the irregularity q of a variety and the completeness, under suitable conditions, of the characteristic series of continuous systems. The chief tool is the theory of currents {see (IX, 3)}, though some of the topics could be treated by the methods of the preceding chapter {see Kodaira-Spencer [3]}.
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© 1956 Springer-Verlag OHG. Berlin · Göttingen · Heidelberg
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Baldassarri, M. (1956). The Superficial Irregularity and Continuous Systems. In: Algebraic Varieties. Ergebnisse der Mathematik und Ihrer Grenzgebiete, vol 12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-52761-6_11
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DOI: https://doi.org/10.1007/978-3-642-52761-6_11
Publisher Name: Springer, Berlin, Heidelberg
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