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On certain examples of surfaces with pg = 0 Due to Burniat

Published online by Cambridge University Press:  22 January 2016

C. A. M. Peters
C. A. M. Peters*
Affiliation:
Math. Instituut der R. U. Leiden, Wassenaarseweg 80,Leiden, Netherlands
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Let Sbe a compact complex protective and smooth variety of dimc2, shortly a surface. We employ the following standard notations:

Os: structure sheaf of S.

Ks: the canonical bundle on S.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 66 , May 1977 , pp. 109 - 119
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1977

References

[1] Burniat, P.: Sur les surfaces de genre P12>0 , Ann. Math. Pura Appl. (4) 71 (1966).Google Scholar
[2] Horikawa, E.: On deformations of Quintic Surfaces, Inv. Math., 31 (1975), 43–85.Google Scholar
[3] Miyaoka, Y.: Tricanonical map of numerical Godeaux surfaces, Inventiones Math., 34 (1976), 99–111.Google Scholar
[4] Reid, M.: Some new surfaces with pg = 0, preliminary version.Google Scholar
[5] Peters, C.: On two types of surfaces of general type with vanishing geometric genus, Inventiones Math., 32 (1976), 33–47.Google Scholar