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- Irregularity_of_a_surface abstract "In mathematics, the irregularity of a complex surface X is the Hodge number h0,1= dim H1(OX), usually denoted by q (Wolf P. Barth, Klaus Hulek & Chris A.M. Peters et al. 2004). The irregularity of an algebraic surface is sometimes defined to be this Hodge number, and sometimes defined to be the dimension of the Picard variety (Bombieri & Mumford 1977, p.26), which is the same in characteristic 0 but can be smaller in positive characteristic.The name "irregularity" comes from the fact that for the first surfaces investigated in detail, the smooth complex surfaces in P3, the irregularity happens to vanish. The irregularity then appeared as a new "correction" term measuring the difference pg − pa of the geometric genus and the arithmetic genus of more complicated surfaces. Surfaces are sometimes called regular or irregular depending on whether or not the irregularity vanishes.For a complex analytic manifold X in general dimension the Hodge number h0,1 = dim H1(OX) is called irregularity q.".
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- Irregularity_of_a_surface wikiPageWikiLink Albanese_variety.
- Irregularity_of_a_surface wikiPageWikiLink American_Journal_of_Mathematics.
- Irregularity_of_a_surface wikiPageWikiLink Annales_Scientifiques_de_lxc3x89cole_Normale_Supxc3xa9rieure.
- Irregularity_of_a_surface wikiPageWikiLink Arithmetic_genus.
- Irregularity_of_a_surface wikiPageWikiLink Bockstein_homomorphism.
- Irregularity_of_a_surface wikiPageWikiLink Bockstein_operation.
- Irregularity_of_a_surface wikiPageWikiLink Category:Algebraic_surfaces.
- Irregularity_of_a_surface wikiPageWikiLink Category:Complex_surfaces.
- Irregularity_of_a_surface wikiPageWikiLink Characteristic_(algebra).
- Irregularity_of_a_surface wikiPageWikiLink Complex_surface.
- Irregularity_of_a_surface wikiPageWikiLink Enriques_surface.
- Irregularity_of_a_surface wikiPageWikiLink Enriques–Kodaira_classification.
- Irregularity_of_a_surface wikiPageWikiLink Geometric_genus.
- Irregularity_of_a_surface wikiPageWikiLink Hodge_number.
- Irregularity_of_a_surface wikiPageWikiLink Hodge_theory.
- Irregularity_of_a_surface wikiPageWikiLink Kähler_manifold.
- Irregularity_of_a_surface wikiPageWikiLink Kähler_surface.
- Irregularity_of_a_surface wikiPageWikiLink Picard_group.
- Irregularity_of_a_surface wikiPageWikiLink Picard_variety.
- Irregularity_of_a_surface wikiPageWikiLink Pierre_Cartier_(mathematician).
- Irregularity_of_a_surface wikiPageWikiLink Positive_characteristic.
- Irregularity_of_a_surface wikiPageWikiLink Princeton_University_Press.
- Irregularity_of_a_surface wikiPageWikiLink Proceedings_of_the_National_Academy_of_Sciences.
- Irregularity_of_a_surface wikiPageWikiLink Proceedings_of_the_National_Academy_of_Sciences_of_the_United_States_of_America.
- Irregularity_of_a_surface wikiPageWikiLinkText "Irregularity of a surface".
- Irregularity_of_a_surface wikiPageWikiLinkText "Regular surface".
- Irregularity_of_a_surface wikiPageWikiLinkText "irregularity of a surface".
- Irregularity_of_a_surface wikiPageWikiLinkText "irregularity".
- Irregularity_of_a_surface wikiPageWikiLinkText "regular".
- Irregularity_of_a_surface first "Antonius".
- Irregularity_of_a_surface first "Chris A.M.".
- Irregularity_of_a_surface first "Klaus".
- Irregularity_of_a_surface first "Wolf P.".
- Irregularity_of_a_surface hasPhotoCollection Irregularity_of_a_surface.
- Irregularity_of_a_surface isbn "978".
- Irregularity_of_a_surface last "Barth".
- Irregularity_of_a_surface last "Hulek".
- Irregularity_of_a_surface last "Peters".
- Irregularity_of_a_surface last "Van de Ven".
- Irregularity_of_a_surface mr "2030225".
- Irregularity_of_a_surface publisher "Springer-Verlag, Berlin".
- Irregularity_of_a_surface series "Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge.".
- Irregularity_of_a_surface title "Compact Complex Surfaces".
- Irregularity_of_a_surface volume "4".
- Irregularity_of_a_surface wikiPageUsesTemplate Template:Citation.
- Irregularity_of_a_surface wikiPageUsesTemplate Template:Harv.
- Irregularity_of_a_surface wikiPageUsesTemplate Template:Harvs.
- Irregularity_of_a_surface wikiPageUsesTemplate Template:Harvtxt.
- Irregularity_of_a_surface year "2004".
- Irregularity_of_a_surface subject Category:Algebraic_surfaces.
- Irregularity_of_a_surface subject Category:Complex_surfaces.
- Irregularity_of_a_surface hypernym H.
- Irregularity_of_a_surface type Person.
- Irregularity_of_a_surface type Surface.
- Irregularity_of_a_surface type Variety.
- Irregularity_of_a_surface comment "In mathematics, the irregularity of a complex surface X is the Hodge number h0,1= dim H1(OX), usually denoted by q (Wolf P. Barth, Klaus Hulek & Chris A.M. Peters et al. 2004).".
- Irregularity_of_a_surface label "Irregularity of a surface".
- Irregularity_of_a_surface sameAs 曲面の不正則数.
- Irregularity_of_a_surface sameAs m.06415wd.
- Irregularity_of_a_surface sameAs Q15122156.
- Irregularity_of_a_surface sameAs Q15122156.
- Irregularity_of_a_surface wasDerivedFrom Irregularity_of_a_surface?oldid=619092801.
- Irregularity_of_a_surface isPrimaryTopicOf Irregularity_of_a_surface.