The effective monoids of some blow-ups of Hirzebruch surfaces

Abstract We mainly give a numerical condition to ensure the finite generation of the effective monoids of some smooth projective rational surfaces. These surfaces are constructed from the blow-up of any fixed Hirzebruch surface at some special configurations of ordinary points. Under this numerical...

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Bibliographic Details
Main Authors: G. Andablo-Reyes, B. L. De La Rosa-Navarro, M. Lahyane
Format: Article
Language:English
Published: SpringerOpen 2023-03-01
Series:Arabian Journal of Mathematics
Subjects:
Online Access:https://doi.org/10.1007/s40065-023-00425-0