In
mathematics, a Castelnuovo surface is a
surface of general type such that the
canonical bundle is very ample and
such that c12 = 3pg − 7.
Guido Castelnuovo proved that if the canonical bundle is very ample for a surface of general type then c12 ≥ 3pg − 7.[1]
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., vol. 4, Springer-Verlag, Berlin,
ISBN978-3-540-00832-3,
MR2030225