Higher-Dimensional Varieties

DOI10.1007/978-3-319-59486-6_3zbMath1393.14002OpenAlexW2760833290MaRDI QIDQ4606255

Olivier Debarre

Publication date: 2 March 2018

Published in: Lecture Notes of the Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-59486-6_3

zbMATH Keywords

birational geometryminimal model programMori's cone theorem

Mathematics Subject Classification ID

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry (14-01) Surfaces and higher-dimensional varieties (14Jxx) Minimal model program (Mori theory, extremal rays) (14E30)

Cites Work

• A numerical criterion for uniruledness
• Projective manifolds with ample tangent bundles
• Classification theory of algebraic varieties and compact complex spaces. Notes written in collaboration with P. Cherenack
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
• Toward a numerical theory of ampleness
• Existence of flips and minimal models for 3-folds in char $p$
• Existence of minimal models for varieties of log general type
• Chapters on algebraic surfaces
• Nonrational Hypersurfaces
• Threefolds whose canonical bundles are not numerically effective
• Higher-dimensional algebraic geometry
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