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dc.creatorSimpson, Matthew
dc.date.accessioned 2009-06-03T19:55:39Z
dc.date.available 2009-06-03T19:55:39Z
dc.date.issued 2008
dc.identifier.urihttp://hdl.handle.net/1911/22251
dc.description.abstract The Deligne-Mumford moduli spaces of genus g n-pointed stable curves classify how algebraic families of Riemann surfaces may vary. Any such family corresponds to a subvariety of the associated moduli space. Because of this correspondence it is an interesting open problem to give a classification of subvarieties of our moduli spaces. There is a conjecture by Fulton regarding the structure of the cone of curves in the genus zero case. By constructing contractions to a large collection of geometric quotients parameterizing stable plane conics, I prove a special case of this conjecture. In addition, I show that the standard contractions to log-canonical models are, in many cases, equal to certain of Hassett's weighted pointed curve spaces and that much of the information about these models is encoded in our geometric quotients.
dc.format.extent 62 p.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectMathematics
dc.title On log canonical models of the moduli space of stable pointed genus zero curves
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Mathematics
thesis.degree.discipline Natural Sciences
thesis.degree.grantor Rice University
thesis.degree.level Doctoral
thesis.degree.name Doctor of Philosophy
dc.identifier.citation Simpson, Matthew. "On log canonical models of the moduli space of stable pointed genus zero curves." (2008) Diss., Rice University. http://hdl.handle.net/1911/22251.


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