Rational surfaces with finitely generated Cox rings and very high Picard numbers

DOI10.1007/S13398-016-0296-0zbMath1360.14022OpenAlexW2310118812MaRDI QIDQ523104

Mustapha Lahyane, Brenda Leticia De La Rosa Navarro, Juan Bosco Frías Medina

Publication date: 20 April 2017

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-016-0296-0

zbMATH Keywords

rational surfacesblowing-upCox ringseffective monoidanticanonical Iitaka dimensiongeometrically ruled surfaces

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) Minimal model program (Mori theory, extremal rays) (14E30) Divisors, linear systems, invertible sheaves (14C20) Picard groups (14C22)

Related Items (6)

Harbourne–Hirschowitz surfaces whose anticanonical divisors consist only of three irreducible components ⋮ The effective monoids of some blow-ups of Hirzebruch surfaces ⋮ Platonic Harbourne-Hirschowitz rational surfaces ⋮ Platonic Surfaces ⋮ Non-positive and negative at infinity divisorial valuations of Hirzebruch surfaces ⋮ The effective monoids of the blow-ups of Hirzebruch surfaces at points in general position

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