Curves with low Harbourne constants on Kummer and abelian surfaces

DOI10.1007/s12215-017-0328-4zbMath1404.14044arXiv1711.06449OpenAlexW2963824060MaRDI QIDQ1632028

Xavier Roulleau

Publication date: 12 December 2018

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

Full work available at URL: https://arxiv.org/abs/1711.06449

zbMATH Keywords

abelian surfacesbounded negativity conjectureKummer surfacesKummer configurationHarbourne constants

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28)

Related Items (2)

Construction of Nikulin configurations on some Kummer surfaces and applications ⋮ Towards the weighted bounded negativity conjecture for blow-ups of algebraic surfaces

Cites Work

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• Harbourne constants and arrangements of lines on smooth hypersurfaces in \(\mathbb{P}^{3}_{\mathbb{C}}\)
• On smooth quartic embedding of Kummer surfaces
• On the local negativity of surfaces with numerically trivial canonical class
• Chern slopes of simply connected complex surfaces of general type are dense in [2,3]
• Negative curves on algebraic surfaces
• Harbourne constants and conic configurations on the projective plane
• Bounded Negativity and Arrangements of Lines
• Hyperelliptic genus 4 curves on abelian surfaces
• Bounded Negativity, Miyaoka—Sakai Inequality, and Elliptic Curve Configurations
• A Pair of Rigid Surfaces with pg= q = 2 and K2= 8 Whose Universal Cover is Not the Bidisk

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