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A numerical criterion of quasi-abelian surfaces

Published online by Cambridge University Press:  22 January 2016

Shigeru Iitaka
Shigeru Iitaka*
Affiliation:
Department of Mathematics, University of Tokyo
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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:

  • Pm(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.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 73 , March 1979 , pp. 99 - 115
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1979

References

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