Variations on the weak bounded negativity conjecture

DOI10.1515/ADVGEOM-2023-0027MaRDI QIDQ6499425

Claudio Fontanari, Ciro Ciliberto

Publication date: 8 May 2024

Published in: advg (Search for Journal in Brave)

zbMATH Keywords

self-intersectionirreducible curvebounded negativity conjecturesmooth projective surface

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Divisors, linear systems, invertible sheaves (14C20)

Cites Work

• On finiteness of curves with high canonical degree on a surface
• The orbibundle Miyaoka-Yau-Sakai inequality and an effective Bogomolov-McQuillan theorem
• Bounding curves in algebraic surfaces by genus and Chern numbers
• On the canonical degrees of curves in varieties of general type
• Towards the weighted bounded negativity conjecture for blow-ups of algebraic surfaces
• Negative curves on algebraic surfaces
• Recent developments and open problems in linear series
• Weak bounded negativity conjecture

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