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

Invariants

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

References

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  • 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