“Barlow surface”的意思、由来-开放百科全书

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Barlow surface

释义

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In mathematics, a Barlow surface is one of the complex surfaces introduced by {{harvs|txt|first=Rebecca|last= Barlow|authorlink=Rebecca Barlow (mathematician)| year1=1984|year2=1985}}. They are simply connected surfaces of general type with p_g = 0. They are homeomorphic but not diffeomorphic to a projective plane blown up in 8 points. The Hodge diamond for the Barlow surfaces is:

{{Hodge diamond|style=font-weight:bold
| 1
| 0 | 0
| 0 | 9 | 0
| 0 | 0
| 1
}}

References

{{Citation | authorlink=Rebecca Barlow (mathematician) | last1=Barlow | first1=Rebecca | title=Some new surfaces with | url=http://projecteuclid.org/euclid.dmj/1077304099 | doi=10.1215/S0012-7094-84-05139-1 | mr=771386 | year=1984 | journal=Duke Mathematical Journal | issn=0012-7094 | volume=51 | issue=4 | pages=889–904}}
{{Citation | last1=Barlow | first1=Rebecca | title=A simply connected surface of general type with | doi=10.1007/BF01388974 | mr=778128 | year=1985 | journal=Inventiones Mathematicae | issn=0020-9910 | volume=79 | issue=2 | pages=293–301}}
{{Citation | last1=Barth | first1=Wolf P. | last2=Hulek | first2=Klaus | last3=Peters | first3=Chris A.M. | last4=Van de Ven | first4=Antonius | title=Compact Complex Surfaces | publisher= Springer-Verlag, Berlin | series=Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. | isbn=978-3-540-00832-3 | mr=2030225 | year=2004 | volume=4}}
{{Citation | authorlink=Dieter Kotschick | last1=Kotschick | first1=Dieter | title=On manifolds homeomorphic to | doi=10.1007/BF01393892 | mr=979367 | year=1989 | journal=Inventiones Mathematicae | issn=0020-9910 | volume=95 | issue=3 | pages=591–600}}

2 : Algebraic surfaces|Complex surfaces

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