Log-canonical thresholds on del Pezzo surfaces of degrees ≥ 2

DOI10.1215/00277630-2010-009zbMath1209.14030OpenAlexW1562107128MaRDI QIDQ3078479

Jihun Park, Joonyeong Won

Publication date: 28 February 2011

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/00277630-2010-009

zbMATH Keywords

Fano varietydel Pezzo surfaceslog-canonical singularitieslog-canonical thresholddu Val singularitiesdual graphs of curve configurations

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Singularities of surfaces or higher-dimensional varieties (14J17) Special surfaces (14J25)

Related Items (6)

K-semistable Fano manifolds with the smallest alpha invariant ⋮ Log canonical thresholds of del Pezzo surfaces in characteristic \(p\) ⋮ Computing \(\alpha\)-invariants of singular del Pezzo surfaces ⋮ Alpha-invariants and purely log terminal blow-ups ⋮ Affine cones over smooth cubic surfaces ⋮ The Noether inequality for algebraic \(3\)-folds. With an appendix by János Kollár.

Cites Work

• Log canonical thresholds of del Pezzo surfaces
• On singular cubic surfaces
• Birational maps of del Pezzo fibrations
• Semi-continuity of complex singularity exponents and Kähler–Einstein metrics on Fano orbifolds
• Log canonical thresholds on Gorenstein canonical del Pezzo surfaces
• Log canonical thresholds of smooth Fano threefolds
• Arithmetic on Singular Del Pezzo Surfaces
• A Note on Del Pezzo Fibrations of Degree 1
• Birational geometry of Fano direct products
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