Barlow surface
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In mathematics, a Barlow surface is one of the complex surfaces introduced by Rebecca Barlow (1984, 1985). They are simply connected surfaces of general type with pg = 0. They are homeomorphic but not diffeomorphic to a projective plane blown up in 8 points. The Hodge diamond for the Barlow surfaces is: Script error: No such module "Hodge diamond".
See also
- Hodge theory
References
- Barlow, Rebecca (1984), "Some new surfaces with [math]\displaystyle{ p_g=0 }[/math]", Duke Mathematical Journal 51 (4): 889–904, doi:10.1215/S0012-7094-84-05139-1, ISSN 0012-7094, http://projecteuclid.org/euclid.dmj/1077304099
- Barlow, Rebecca (1985), "A simply connected surface of general type with [math]\displaystyle{ p_g=0 }[/math]", Inventiones Mathematicae 79 (2): 293–301, doi:10.1007/BF01388974, ISSN 0020-9910
- 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
- Kotschick, Dieter (1989), "On manifolds homeomorphic to [math]\displaystyle{ \mathbb{CP}^2 \# 8 \overline{\mathbb{CP}}^2 }[/math]", Inventiones Mathematicae 95 (3): 591–600, doi:10.1007/BF01393892, ISSN 0020-9910
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