Rational Surfaces with Anticanonical Divisor not Reduced

We prove the finite generation of the monoid of effective divisor classes on a smooth projective rational surface X endowed with an anticanonical divisor such that all its irreducible components are of multiplicity one except one which has multiplicity two. In almost all cases, the self-intersection...

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Bibliographic Details
Main Authors: Rodriguez Jesús Adrian Cerda, Lahyane Mustapha, Osuna-Castro Osvaldo, Failla Gioia, Moreno-Mejia Israel
Format: Article
Language:English
Published: Sciendo 2013-11-01
Series:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Subjects:
Online Access:https://doi.org/10.2478/auom-2013-0055