In
mathematics
Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
, a Castelnuovo surface is a
surface of general type such that the
canonical bundle is very ample and
such that ''c''
12 = 3''p
g'' − 7.
Guido Castelnuovo proved that if the canonical bundle is very ample for a surface of general type then ''c''
12 ≥ 3''p
g'' − 7.
References
{{reflist
Algebraic surfaces
Complex surfaces