Log canonical models of elliptic surfaces

DOI10.1016/j.aim.2017.08.035zbMath1390.14112arXiv1610.08033OpenAlexW2962842397MaRDI QIDQ2411326

Kenneth Ascher, Dori Bejleri

Publication date: 20 October 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.08033

zbMATH Keywords

classificationelliptic surfaceslog canonical models

Mathematics Subject Classification ID

Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Families, moduli, classification: algebraic theory (14J10) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (8)

Compact moduli of degree one del Pezzo surfaces ⋮ Positivity of the CM line bundle for families of \(K\)-stable klt Fano varieties ⋮ Moduli of fibered surface pairs from twisted stable maps ⋮ Compact moduli of elliptic K3 surfaces ⋮ Compactifications of moduli of elliptic K3 surfaces: stable pair and toroidal ⋮ Moduli of Weierstrass fibrations with marked section ⋮ Geometric stabilisation via $p$-adic integration ⋮ Moduli of double covers and degree one del Pezzo surfaces

Cites Work

• Minimal model theory for log surfaces
• Configurations of Kodaira fibers on rational elliptic surfaces
• Threefolds and deformations of surface singularities
• Abundance theorem for minimal threefolds
• A canonical bundle formula
• Moduli spaces of weighted pointed stable curves.
• Moduli of fibered surface pairs from twisted stable maps
• Log pluricanonical representations and the abundance conjecture
• Introduction
• Moduli of weighted stable elliptic surfaces and invariance of log plurigenera
• On Finiteness of B-representation and Semi-log Canonical Abundance
• Fundamental theorems for semi log canonical pairs
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