Realizability of tropical lines in the fan tropical plane

dc.contributor.advisorHelm, David, doctor of mathematics
dc.creatorHaque, Mohammad Moinulen
dc.date.accessioned2013-09-16T17:15:27Zen
dc.date.issued2013-08en
dc.date.submittedAugust 2013en
dc.date.updated2013-09-16T17:15:27Zen
dc.descriptiontexten
dc.description.abstractIn this thesis we construct an analogue in tropical geometry for a class of Schubert varieties from classical geometry. In particular, we look at the collection of tropical lines contained in the fan tropical plane. We call these tropical spaces "tropical Schubert prevarieties", and develop them after creating a tropical analogue for flag varieties that we call the "flag Dressian". Having constructed this tropical analogue of Schubert varieties we then determine that the 2-skeleton of these tropical Schubert prevarieties is realizable. In fact, as long as the lift of the fan tropical plane is in general position, only the 2-skeleton of the tropical Schubert prevariety is realizable.en
dc.description.departmentMathematicsen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/2152/21209en
dc.language.isoen_USen
dc.subjectTropical geometryen
dc.subjectAlgebraic geometryen
dc.subjectGeometryen
dc.subjectTropicalen
dc.subjectDeformation theoryen
dc.subjectObstructionen
dc.subjectRealizabilityen
dc.titleRealizability of tropical lines in the fan tropical planeen
thesis.degree.departmentMathematicsen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorThe University of Texas at Austinen
thesis.degree.levelDoctoralen
thesis.degree.nameDoctor of Philosophyen

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