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

C. A. M. Peters

doi:10.1017/S002776300001775X

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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.

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 p_g = 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

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

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