Singularities of generic projection hypersurfaces
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- by Davis C. Doherty
- Proc. Amer. Math. Soc. 136 (2008), 2407-2415
- DOI: https://doi.org/10.1090/S0002-9939-08-09286-1
- Published electronically: February 20, 2008
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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.References
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Bibliographic 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
- 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
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 2407-2415
- MSC (2000): Primary 14J17; Secondary 14E15, 14B05
- DOI: https://doi.org/10.1090/S0002-9939-08-09286-1
- MathSciNet review: 2390507