A few questions about curves on surfaces

DOI10.1007/s12215-016-0284-4zbMath1386.14132arXiv1511.06618OpenAlexW2962677468MaRDI QIDQ1676547

Victor Lozovanu, Damiano Testa, John Lesieutre, Yusuf Mustopa, Rick Miranda, Ciro Ciliberto, Andreas Leopold Knutsen

Publication date: 9 November 2017

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.06618

zbMATH Keywords

positivitycurvessurfacesdivisorsline bundles

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Vanishing theorems in algebraic geometry (14F17) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Divisors, linear systems, invertible sheaves (14C20) Special surfaces (14J25)

Related Items (4)

Algebraic Geometry, Commutative Algebra and Combinatorics: Interactions and Open Problems ⋮ Restrictions on rational surfaces lying in very general hypersurfaces ⋮ Bounded cohomology property on a smooth projective surface with Picard number two ⋮ Bounding cohomology on a smooth projective surface with Picard number 2

Cites Work

• Regularity of linear systems of plane curves
• Local positivity of linear series on surfaces
• Negative curves on algebraic surfaces
• Canonical models of surfaces of general type
• Homogeneous interpolation on ten points
• Restricted volumes and base loci of linear series
• Recent developments and open problems in linear series
• Algebraic surfaces. Transl. from the Romanian by V. Maşek
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