Duke Mathematical Journal

Irregularity of surfaces with a linear pencil

Gang Xiao

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Article information

Source
Duke Math. J. Volume 55, Number 3 (1987), 597-602.

Dates
First available in Project Euclid: 20 February 2004

Permanent link to this document
http://projecteuclid.org/euclid.dmj/1077306165

Mathematical Reviews number (MathSciNet)
MR904942

Zentralblatt MATH identifier
0651.14021

Digital Object Identifier
doi:10.1215/S0012-7094-87-05529-3

Subjects
Primary: 14J25: Special surfaces {For Hilbert modular surfaces, see 14G35}
Secondary: 14J29: Surfaces of general type

Citation

Xiao, Gang. Irregularity of surfaces with a linear pencil. Duke Math. J. 55 (1987), no. 3, 597--602. doi:10.1215/S0012-7094-87-05529-3. http://projecteuclid.org/euclid.dmj/1077306165.


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References

  • [1] W. Barth, C. Peters, and A. Van de Ven, Compact Complex Surfaces, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 4, Springer-Verlag, Berlin, 1984.
  • [2] A. Beauville, L'application canonique pour les surfaces de type général, Invent. Math. 55 (1979), no. 2, 121–140.
  • [3] O. Debarre, Inégalités numériques pour les surfaces de type général, Bull. Soc. Math. France 110 (1982), no. 3, 319–346.
  • [4] G. Xiao, Surfaces Fibrees en Courbes de Genre Deux, Lecture Notes in Math., vol. 1137, Springer-Verlag, Berlin, 1985.
  • [5] G. Xiao, L'irrégularité des surfaces de type général dont le système canonique est composé d'un pinceau, Compositio Math. 56 (1985), no. 2, 251–257.
  • [6] G. Xiao, Algebraic surfaces with high canonical degree, Math. Ann. 274 (1986), no. 3, 473–483.
  • [7] G. Xiao, Fibered algebraic surfaces with low slope, to appear in Math. Ann.