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A numerical criterion of quasi-abelian surfaces

Shigeru Iitaka

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Source: Crossref

Published: Mar 1, 1979

DOI: 10.1017/s0027763000018341

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Source abstract

At first, we fix the notation. Let k = C and we shall work in the category of schemes over k . For an algebraic variety V of dimension n , we have the following numerical invariants: P m (V ) = the m -genus of V , q(V ) = the irregularity of V , k(V ) = the Kodaira dimension of V ; = the logarithmic m -genus of V , = the logarithmic irregularity of V , = the logarithmic Kodaira dimension of V .

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A numerical criterion of quasi-abelian surfaces — Mathematical Frontier Network