Factorial threefold hypersurfaces
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
Full-text PDF
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
