A del Pezzo surface is a smooth projective algebraic surface whose anticanonical divisor is ample. Its degree is the self-intersection of the anticanonical class and lies between 1 and 9. Over an algebraically closed field, most examples are blow-ups of the projective plane at points in general position.
Del Pezzo Surface
See also
Algebraic Surface, Blow-Up, Projective PlaneExplore with Wolfram|Alpha
References
Manin, Yu. I. Cubic Forms: Algebra, Geometry, Arithmetic, 2nd ed. Amsterdam, Netherlands: North-Holland, 1986.Cite this as:
Weisstein, Eric W. "Del Pezzo Surface." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/DelPezzoSurface.html