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
[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.
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