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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 an 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 wikiPageID "22857258".
- Irregularity_of_a_surface wikiPageRevisionID "600217603".
- 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 year "2004".
- Irregularity_of_a_surface subject Category:Algebraic_surfaces.
- Irregularity_of_a_surface subject Category:Complex_surfaces.
- Irregularity_of_a_surface type AlgebraicSurfaces.
- Irregularity_of_a_surface type Artifact100021939.
- Irregularity_of_a_surface type ComplexSurfaces.
- Irregularity_of_a_surface type Object100002684.
- Irregularity_of_a_surface type PhysicalEntity100001930.
- Irregularity_of_a_surface type Surface104362025.
- Irregularity_of_a_surface type Whole100003553.
- 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 label "曲面の不正則数".
- Irregularity_of_a_surface sameAs 曲面の不正則数.
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- Irregularity_of_a_surface sameAs Q15122156.
- Irregularity_of_a_surface sameAs Q15122156.
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- Irregularity_of_a_surface wasDerivedFrom Irregularity_of_a_surface?oldid=600217603.
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