The moduli space of hypersurfaces whose singular locus has high dimension
Name
727146266-MIT.pdf
Description
Full printable version
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2.35 MB
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Author(s)
Slavov, Kaloyan (Kaloyan Stefanov)
Advisor(s)
Bjorn Poonen.
Date Issued
2011
Publisher
Massachusetts Institute of Technology
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).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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copyright. They may be viewed from this source for any purpose, but
reproduction or distribution in any format is prohibited without written
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