A Note on Del Pezzo Fibrations of Degree 1

DOI10.1081/AGB-120024852zbMath1035.14003arXivmath/0104134OpenAlexW2021904436MaRDI QIDQ4435156

Jihun Park

Publication date: 26 November 2003

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0104134

zbMATH Keywords

del Pezzo surfacelog canonical thresholdGorenstein surfacedel Pezzo fibrationsanticanonical linear systems

Mathematics Subject Classification ID

Rational and birational maps (14E05) Fibrations, degenerations in algebraic geometry (14D06) Fano varieties (14J45) Divisors, linear systems, invertible sheaves (14C20)

Related Items (9)

K-semistable Fano manifolds with the smallest alpha invariant ⋮ Cylinders in singular del Pezzo surfaces ⋮ Birational self-maps of threefolds of (un)-bounded genus or gonality ⋮ The rationality problem for conic bundles ⋮ Del Pezzo Surfaces and Local Inequalities ⋮ Computing \(\alpha\)-invariants of singular del Pezzo surfaces ⋮ Alpha-invariants and purely log terminal blow-ups ⋮ Log canonical thresholds on Gorenstein canonical del Pezzo surfaces ⋮ Log-canonical thresholds on del Pezzo surfaces of degrees ≥ 2

Cites Work

• Del Pezzo surfaces over Dedekind schemes
• Gorenstein log del Pezzo surfaces of rank one
• Normal Gorenstein surfaces with ample anti-canonical divisor
• Gorenstein log del Pezzo surfaces. II
• Birational maps of del Pezzo fibrations
• 3-FOLD LOG FLIPS
• Polynomials with integral coefficients, equivalent to a given polynomial
• Factorization of birational maps of rational surfaces from the viewpoint of Mori theory
• On Isolated Rational Singularities of Surfaces

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