The moduli space of hypersurfaces whose singular locus has high dimension

Author(s)
Slavov, Kaloyan (Kaloyan Stefanov)
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Massachusetts Institute of Technology. Dept. of Mathematics.
Advisor
Bjorn Poonen.
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Abstract
Fix integers n and b with n =/> 3 and 1 =/< b < n - 1. Let k be an algebraically closed field. Consider the moduli space X of hypersurfaces in P" of fixed degree I whose singular locus is at least b-dimensional. We prove that for large 1, X has a unique irreducible component of maximal dimension, consisting of the hypersurfaces singular along a linear b-dimensional subspace of P".
Description
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2011.
 
Cataloged from PDF version of thesis.
 
Includes bibliographical references (p. 75).
 
Date issued
2011
URI
http://hdl.handle.net/1721.1/64605
Department
Massachusetts Institute of Technology. Department of Mathematics
Publisher
Massachusetts Institute of Technology
Keywords
Mathematics.
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