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.{{Citation | last1=Barth | first1=Wolf P. | last2=Hulek | first2=Klaus | last3=Peters | first3=Chris A.M. | last4=Van de Ven | first4=Antonius | title=Compact Complex Surfaces | publisher= Springer-Verlag, Berlin | series=Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. | isbn=978-3-540-00832-3 | mr=2030225 | year=2004 | volume=4}}