On the finite generation of the monoid of effective divisor classes on rational surfaces of type (n, m)

Gioia Failla, Mustapha Lahyane, Giovanni Molica Bisci

Abstract


We prove that every projective rational surface of type (n, m) has only a finite number of (-1) curves and only a finite number of (-2) curves, where n and m are nonnegative integers satisfying the inequality mn-m-4n

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DOI: http://dx.doi.org/10.1478/C1A0601001

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