The effective monoids of some blow-ups of Hirzebruch surfaces

DOI10.1007/s40065-023-00425-0OpenAlexW4360980606MaRDI QIDQ6062988

Brenda Leticia De La Rosa Navarro, Mustapha Lahyane, Gloria Andablo-Reyes

Publication date: 2 December 2023

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-023-00425-0

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Divisors, linear systems, invertible sheaves (14C20) Picard groups (14C22)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Erratum to: ``A geometric criterion for the finite generation of the Cox rings of projective surfaces.
• Rational surfaces with finitely generated Cox rings and very high Picard numbers
• Effective divisor classes on a ruled surface.
• Irreducibility of \(-1\)-classes on anticanonical rational surfaces and finite generation of the effective monoid
• The cone of curves and the Cox ring of rational surfaces given by divisorial valuations
• Exceptional curves on rational numerically elliptic surfaces
• Curves having one place at infinity and linear systems on rational surfaces
• A survey on Cox rings
• Effective divisor classes and blowings-up of \({\mathbb{P}}^ 2\)
• Blowings-up of \({\mathbb{P}}^ 2\) and their blowings-down
• On extremal rational elliptic surfaces
• Free resolutions of fat point ideals on \(\mathbb{P}^2\)
• The total coordinate ring of a smooth projective surface
• The cone of curves associated to a plane configuration
• Exceptional curves on rational surfaces having \(K^2\geqslant 0\).
• Non-positive and negative at infinity divisorial valuations of Hirzebruch surfaces
• Newton-Okounkov bodies of exceptional curve valuations
• On the finite generation of the effective monoid of rational surfaces
• Cones of curves and of line bundles ``at infinity
• A geometric criterion for the finite generation of the Cox rings of projective surfaces
• On the Cox ring of $\mathbf{P}^2$ blown up in points on a line
• Anticanonical Rational Surfaces
• CONES OF CURVES AND OF LINE BUNDLES ON SURFACES ASSOCIATED WITH CURVES HAVING ONE PLACE AT INFINITY
• On rational surfaces, II
• Complete Linear Systems on Rational Surfaces
• Harbourne–Hirschowitz surfaces whose anticanonical divisors consist only of three irreducible components
• ON THE CONE OF CURVES AND OF LINE BUNDLES OF A RATIONAL SURFACE
• Rational surfaces with $K^2>0$
• Fixed Loci of the Anticanonical Complete Linear Systems of Anticanonical Rational Surfaces
• Threefolds whose canonical bundles are not numerically effective
• Mori dream spaces and GIT.

This page was built for publication: The effective monoids of some blow-ups of Hirzebruch surfaces