Factorial threefold hypersurfaces

Cheltsov, Ivan

doi:10.1090/S1056-3911-09-00522-0

Author: Ivan Cheltsov
Journal: J. Algebraic Geom. 19 (2010), 781-791
DOI: https://doi.org/10.1090/S1056-3911-09-00522-0
Published electronically: June 17, 2009
MathSciNet review: 2669729
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Abstract | References | Additional Information

Abstract: Let $X$ be a hypersurface in $\mathbb {P}^{4}$ of degree $d$ that has at worst isolated ordinary double points. We prove that $X$ is factorial in the case when $X$ has at most $(d-1)^{2}-1$ singular points.

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Additional Information

Ivan Cheltsov
Affiliation: School of Mathematics, University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom
MR Author ID: 607648
Email: i.cheltsov@ed.ac.uk

Received by editor(s): April 30, 2008
Received by editor(s) in revised form: September 6, 2008
Published electronically: June 17, 2009