Threefolds of general type on the Noether line

DOI10.1007/s40879-022-00576-yzbMath1497.14073OpenAlexW4293198860MaRDI QIDQ2087690

Jungkai Alfred Chen

Publication date: 21 October 2022

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-022-00576-y

zbMATH Keywords

resolution of singularitiesminimal model programNoether inequality

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) (3)-folds (14J30) Rational and birational maps (14E05) Minimal model program (Mori theory, extremal rays) (14E30)

Cites Work

• The Noether inequality for Gorenstein minimal 3-folds
• The Noether inequality for algebraic \(3\)-folds. With an appendix by János Kollár.
• A sharp lower bound for the canonical volume of 3-folds of general type
• On Noether's inequality for threefolds
• Algebraic surfaces of general type with small \(c^2_1\). I
• Algebraic surfaces of general type with small \(c^2_1\). II
• On canonically polarized Gorenstein 3-folds satisfying the Noether equality
• Inequalities of Noether type for 3-folds of general type
• Minimal threefolds of small slope and the Noether inequality for canonically polarized threefolds
• Addendum to: ``The Noether inequality for algebraic 3-folds
• The Noether inequality for smooth minimal 3-folds
• Factoring 3-fold flips and divisorial contractions to curves
• The index of a threefold canonical singularity
• Explicit resolution of three dimensional terminal singularities

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