The moduli space of hypersurfaces whose singular locus has high dimension
Author(s)
Slavov, Kaloyan (Kaloyan Stefanov)![Thumbnail](/bitstream/handle/1721.1/64605/727146266-MIT.pdf.jpg?sequence=5&isAllowed=y)
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Massachusetts Institute of Technology. Dept. of Mathematics.
Advisor
Bjorn Poonen.
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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
2011Department
Massachusetts Institute of Technology. Department of MathematicsPublisher
Massachusetts Institute of Technology
Keywords
Mathematics.