SINGULAR Q-HOMOLOGY PLANES OF NEGATIVE KODAIRA DIMENSION HAVE SMOOTH LOCUS OF NON-GENERAL TYPE

@inproceedings{Palka2010SINGULARQP,
  title={SINGULAR Q-HOMOLOGY PLANES OF NEGATIVE KODAIRA DIMENSION HAVE SMOOTH LOCUS OF NON-GENERAL TYPE},
  author={Karol Palka and Mariusz Koras},
  year={2010}
}
We show that if a singular Q-homology plane has negative Kodaira dimension then its smooth locus is not of general type. This generalizes the earlier result of Koras-Russell for contractible surfaces. 1. Main result We work in the category of complex algebraic varieties. Let S 0 be a singular normal surface having rational cohomology of a plane C 2 , i.e. H � (S 0 ;Q) � Q. We call S 0 a singular Q-homology plane. One of the basic invariants of S 0 is its logarithmic Kodaira dimension �(S 0 ) 2… CONTINUE READING

Figures from this paper.

Citations

Publications citing this paper.

References

Publications referenced by this paper.
SHOWING 1-10 OF 16 REFERENCES

Compact complex surfaces, second ed., Ergebnisse der Mathematik und ihrer Grenzgebiete

Wolf P. Barth, Klaus Hulek, Chris A.M. Peters, Antonius Van de Ven
  • Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics],
  • 2004

C-actions on C3: the smooth locus of the quotient is not of hyperbolic type

Mariusz Koras, Peter Russell
  • J. Algebraic Geom
  • 1999