Journal of Algebraic Geometry Journal of Algebraic Geometry

     

Factorial threefold hypersurfaces

Author(s): Ivan Cheltsov
Journal: J. Algebraic Geom.
Posted: June 17, 2009
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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
Email: i.cheltsov@ed.ac.uk

PII: S 1056-3911(09)00522-0
Received by editor(s): April 30, 2008
Received by editor(s) in revised form: September 6, 2008
Posted: June 17, 2009

Journal of Algebraic Geometry
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