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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Singularities of generic projection hypersurfaces


Author: Davis C. Doherty
Journal: Proc. Amer. Math. Soc. 136 (2008), 2407-2415
MSC (2000): Primary 14J17; Secondary 14E15, 14B05.
Published electronically: February 20, 2008
MathSciNet review: 2390507
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Abstract: Linearly projecting smooth projective varieties provide a method of obtaining hypersurfaces birational to the original varieties. We show that in low dimension, the resulting hypersurfaces only have Du Bois singularities. Moreover, we conclude that these Du Bois singularities are in fact semi log canonical. However, we demonstrate the existence of counterexamples in high dimension - the generic linear projection of certain varieties of dimension 30 or higher is neither semi log canonical nor Du Bois.


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Additional Information

Davis C. Doherty
Affiliation: Department of Mathematics, University of Washington, Seattle, Washington 98195
Address at time of publication: Department of Mathematics, Seattle University, Seattle, Washington 98122

DOI: http://dx.doi.org/10.1090/S0002-9939-08-09286-1
PII: S 0002-9939(08)09286-1
Received by editor(s): June 11, 2007
Received by editor(s) in revised form: June 20, 2007
Published electronically: February 20, 2008
Communicated by: Ted Chinburg
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.