The effective monoids of some monoidal transformations of

The effective monoids of some monoidal transformations of
Hirzebruch surfaces
Brenda Leticia De La Rosa Navarro
Facultad de Ciencias
Universidad Autónoma de Baja California
Ensenada, Baja California, Mexico
[email protected]
In this work, we study families of smooth projective rational surfaces with only a finite
number of (−1)-curves and (−2)-curves. These surfaces are obtained by blowing-up points
in Hirzebruch surfaces. We also compute the number of (−1)-curves and (−2)-curves for a
special case. The base field is assumed to be algebraically closed of any characteristic.