The effective monoids of some monoidal transformations of
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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 brenda.delarosa@uabc.edu.mx 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.
