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Burniat surface

Surface of general type, in mathematics From Wikipedia, the free encyclopedia

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In mathematics, a Burniat surface is one of the surfaces of general type introduced by Pol Burniat (1966).

Invariants

The geometric genus and irregularity are both equal to 0. The Chern number is either 2, 3, 4, 5, or 6.

References

  • Barth, Wolf P.; Hulek, Klaus; Peters, Chris A.M.; Van de Ven, Antonius (2004), Compact Complex Surfaces, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge., vol. 4, Springer-Verlag, Berlin, ISBN 978-3-540-00832-3, MR 2030225
  • Burniat, Pol (1966), "Sur les surfaces de genre P12>1", Annali di Matematica Pura ed Applicata, Series 4, 71 (1): 1–24, doi:10.1007/BF02413731, ISSN 0003-4622, MR 0206810
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