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Title: Codimension-one discriminants
Author: Gómez Morales, Mirna Lissette
ISNI:       0000 0004 5349 8551
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 2014
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We study the Ae-codimension one map-germs that may be obtained by restricting the target of a minimal stable map F : (Cn, 0) -> (Cp, 0). We call the set of hyperplanes L, {L : codimAe(F|L) > 1} the codimension-one discriminant of the stable map F and prove that it defines an algebraic variety V (IF) in the space of hyperplanes, visualised inside Cp. We find in a number of examples that the codimension-one discriminant is a linear free divisor. We also prove, for example, that there are no Ae-codimension one germs obtained by restriction of the stable unfolding of the map-germ f(k) : (C2, 0) -> (C3, 0) (x, y) -> (x3, yk, xy), where the value of k >= 3 is arbitrary.
Supervisor: Not available Sponsor: Consejo Nacional de Ciencia y Tecnología (Mexico) (CONACyT) [213186]
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics