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Rational surfaces in index-one Fano hypersurfaces
Author(s):
Roya
Beheshti;
Jason
Michael
Starr
Journal:
J. Algebraic Geom.
17
(2008),
255-274.
Posted:
December 5, 2007
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Abstract |
References |
Additional information
Abstract:
We give the first evidence for a conjecture that a general, index-one, Fano hypersurface is not unirational: (i) a general point of the hypersurface is contained in no rational surface ruled, roughly, by low-degree rational curves, and (ii) a general point is contained in no image of a Del Pezzo surface.
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Additional Information:
Roya
Beheshti
Affiliation:
Department of Mathematics and Statistics, Queen's University, Kingston, Ontario, Canada K7L 3N6
Address at time of publication:
Department of Mathematics, Washington University in St. Louis, St. Louis, Missouri 63130
Email:
beheshti@mast.queensu.ca; beheshti@math.wustl.edu
Jason
Michael
Starr
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Address at time of publication:
Department of Mathematics, Stony Brook University, Stony Brook, New York 11794
Email:
jstarr@math.mit.edu; jstarr@math.sunysb.edu
PII:
S 1056-3911(07)00459-6
Received by editor(s):
February 1, 2006
Received by editor(s) in revised form:
April 10, 2006 and May 30, 2006
Posted:
December 5, 2007
Additional Notes:
The second author is supported by NSF grant DMS-0353692 and a Sloan Research Fellowship
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