## The moduli space of hypersurfaces whose singular locus has high dimension

##### Author(s)

Slavov, Kaloyan (Kaloyan Stefanov)
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##### Other Contributors

Massachusetts Institute of Technology. Dept. of Mathematics.

##### Advisor

Bjorn Poonen.

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Show full item record##### 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##### Department

Massachusetts Institute of Technology. Dept. of Mathematics.##### Publisher

Massachusetts Institute of Technology

##### Keywords

Mathematics.