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Tropical ideals with Hilbert function two
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Zajaczkowska, Magdalena Anna (2018) Tropical ideals with Hilbert function two. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b3348808~S1
Abstract
We study tropical ideals with Hilbert function two, i.e., homogeneous ideals in the tropical polynomial semiring such that each degree has the underlying structure of a valuated matroid of rank two. We classify all such ideals when the matroid is over the field ꓐ. We discuss the realizability of such ideals when they are in two and three variables. We also give necessary conditions for a sequence of valuated matroids over R to correspond to a tropical ideal in two variables
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Characteristic functions, Algebra, Algebras, Linear | ||||
Official Date: | March 2018 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | Mathematics Institute | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Maclagan, Diane,1974- | ||||
Extent: | v, 58 leaves | ||||
Language: | eng |
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