Show simple item record

dc.contributor.authorWethington, Janice Marie
dc.date.accessioned2014-03-03T20:22:53Z
dc.date.available2014-03-03T20:22:53Z
dc.date.issued2002-12
dc.identifier.otherwethington_janice_m_200212_phd
dc.identifier.urihttp://purl.galileo.usg.edu/uga_etd/wethington_janice_m_200212_phd
dc.identifier.urihttp://hdl.handle.net/10724/20705
dc.description.abstractA conjecture by R. Varley states that the Thom-Boardman invariant for polynomial multiplication maps can be computed by using the Euclidean algorithm on the degrees of the polynomials. This thesis provides some history of the problem, its connection with secant maps and Gauss maps, proofs of classes of cases, and it develops a theory which gives an upper bound on the invariant that agrees with the conjectured invariant. We con-struct monomial ideals which have the conjectured invariant and discuss the generaliza-tion of this construction to polynomial ideals. There is also a discussion on the symmetric product of a smooth curve, along with some basic deformation theory, that is used in the proof of a proposition concerning versality of families of hyperplane sections and transversality to a stratification of the symmetric product.
dc.languageeng
dc.publisheruga
dc.rightspublic
dc.subjectSingularities
dc.subjectThom-Boardman Invariants
dc.subjectSymmetric Product,
dc.titleOn computing the Thom-Boardman symbols for polynomial multiplication maps
dc.typeDissertation
dc.description.degreePhD
dc.description.departmentMathematics
dc.description.majorApplied Mathematical Science
dc.description.advisorRobert Varley
dc.description.committeeRobert Varley
dc.description.committeeMalcolm Adams
dc.description.committeeValery Alexeev
dc.description.committeeEd Azoff
dc.description.committeeDino Lorenzini


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record