Castelnuovo surface

In mathematics, a Castelnuovo surface is a surface of general type such that the canonical bundle is very ample and such that c₁² = 3p_g − 7. Guido Castelnuovo proved that if the canonical bundle is very ample for a surface of general type then c₁² ≥ 3p_g − 7.

References

• Barth, Wolf P.; Hulek, Klaus; Peters, Chris A.M.; Van de Ven, Antonius (2004), Compact Complex Surfaces, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. 4, Springer-Verlag, Berlin, ISBN 978-3-540-00832-3, MR 2030225