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Title: Tropical ideals with Hilbert function two
Author: Zajaczkowska, Magdalena Anna
ISNI:       0000 0004 7961 1364
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 2018
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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.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics