The defect of Fano 3-folds

Details The defect of Fano 3-folds The defect of Fano 3-folds

2007-11-14

arxiv.org/abs/0711.2186v3

Mathematics

Algebraic Geometry

24 pages, minor changes in exposition, final version

Scientific paper

This paper studies the defect of terminal Gorenstein Fano 3 folds. I
determine a bound on the defect of terminal Gorenstein Fano 3-folds of Picard
rank 1 that do not contain a plane. I give a general bound for quartic 3-folds
and indicate how to study the defect of terminal Gorenstein Fano 3-folds with
Picard rank 1 that contain a plane.

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