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Codimension-one discriminants
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Gómez Morales, Mirna Lissette (2014) Codimension-one discriminants. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b2753764~S1
Abstract
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.
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Mappings (Mathematics) | ||||
Official Date: | February 2014 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | Mathematics Institute | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Mond, D. (David) | ||||
Sponsors: | Consejo Nacional de Ciencia y Tecnología (Mexico) (CONACyT) [213186] | ||||
Extent: | viii, 118 leaves | ||||
Language: | eng |
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