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

The geometric genus and irregularity are both 0. The Chern number \(c_1^2 \) is 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. 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. Serie Quarta 71 (1): 1–24, doi:10.1007/BF02413731, ISSN 0003-4622, MR 0206810

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