View Item 

Show simple item record

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)


Files in this item

Name:
vonkorff_1.pdf
Size:
925.5KB
Format:
PDF
View/Open

Show simple item record

Remediation of Harmful Language

The University of Michigan Library aims to describe its collections in a way that respects the people and communities who create, use, and are represented in them. We encourage you to Contact Us anonymously if you encounter harmful or problematic language in catalog records or finding aids. More information about our policies and practices is available at Remediation of Harmful Language.

Accessibility

If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.