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The F-Signature of Toric Varieties.

dc.contributor.authorVon Korff, Michael Richarden_US
dc.date.accessioned2012-10-12T15:25:22Z
dc.date.availableNO_RESTRICTIONen_US
dc.date.available2012-10-12T15:25:22Z
dc.date.issued2012en_US
dc.date.submitted2012en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/93995
dc.description.abstractIn this thesis, we express the $F$-signature of the coordinate ring of an affine toric variety as the volume of a polytope, generalizing a formula of Watanabe and Yoshida. We introduce the notion of the $F$-signature function for divisors on a normal projective variety and show that this function is piecewise rational on the big cone of a projective toric variety.en_US
dc.language.isoen_USen_US
dc.subjectF-signatureen_US
dc.subjectAlgebraic Geometryen_US
dc.subjectCommutative Algebraen_US
dc.subjectToric Varietiesen_US
dc.titleThe F-Signature of Toric Varieties.en_US
dc.typeThesisen_US
dc.description.thesisdegreenamePhDen_US
dc.description.thesisdegreedisciplineMathematicsen_US
dc.description.thesisdegreegrantorUniversity of Michigan, Horace H. Rackham School of Graduate Studiesen_US
dc.contributor.committeememberSmith, Karen E.en_US
dc.contributor.committeememberStrauss, Martinen_US
dc.contributor.committeememberHochster, Melvinen_US
dc.contributor.committeememberSpeyer, David E.en_US
dc.contributor.committeememberZhang, Wenliangen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/93995/1/vonkorff_1.pdf
dc.owningcollnameDissertations and Theses (Ph.D. and Master's)


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