On the Noether--Fano inequalities

Mathematics – Algebraic Geometry

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The revised version: an erroneous reference in the first version of this paper, published in the Proceedings of Fano conferenc

Scientific paper

I give a survey of Noether-Fano inequalities in birational geometry, starting
with the original Noether inequality and up to the modern approach of Log
Minimal Model program. The paper is based on my talk at the Fano conference in
Torino in October 2002. This is the revised version: an erroneous reference in
my paper published in the Proceedings of Fano conference is corrected.

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