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9781470481513 Academic Inspection Copy

Non-Free Sections of Fano Fibrations

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The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
Brian Lehmann, Boston College, Chestnut Hill, Massachusetts. Eric Riedl, University of Notre Dame, Indiana. Sho Tanimoto, Nagoya University, Japan
Chapters; 1. Introduction; 2. Background; 3. Sections of good fibrations; 4. Batyrev's heuristic; 5. Numerical properties of sections; 6. Grauert-Mulich; 7. Sections through general points; 8. Twists over function fields of complex curves; 9. Fujita invariant and sections; 10. Boundedness statements; 11. Fano fibrations; 12. Examples; 13. An arithmetic application
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