Notes on Real Rationally Connected Varieties and Fano Threefolds of Genus 12

Simple item page
dc.contributor.advisorHassett, Brendan Een_US
dc.contributor.advisorVarilly-Alvarado, Anthonyen_US
dc.creatorAllums, Dereken_US
dc.date.accessioned2017-07-31T16:40:33Zen_US
dc.date.available2017-07-31T16:40:33Zen_US
dc.date.created2016-12en_US
dc.date.issued2016-11-01en_US
dc.date.submittedDecember 2016en_US
dc.date.updated2017-07-31T16:40:33Zen_US
dc.description.abstractWe show that a smooth projective geometrically rationally connected variety over the real numbers with at least one rational point admits a non-constant mapping from a smooth projective curve. Additionally, we show that many real smooth Fano complete intersections admit non-constant maps from the real anisotropic conic. Furthermore, we compute the genus and degree of the singular locus of the locus of lines on a genus 12 Fano threefold. After blowing up this locus to obtain simple normal crossings divisor, we compute the cohomology of the complement, in which we see the genus of this curve appear in weight 5 of the third cohomology group.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationAllums, Derek. "Notes on Real Rationally Connected Varieties and Fano Threefolds of Genus 12." (2016) Diss., Rice University. <a href="https://hdl.handle.net/1911/95585">https://hdl.handle.net/1911/95585</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/95585en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectrationally connected varietiesen_US
dc.subjectfano threefoldsen_US
dc.subjectV22en_US
dc.subjecttorelli theoremen_US
dc.subjectreal varietiesen_US
dc.titleNotes on Real Rationally Connected Varieties and Fano Threefolds of Genus 12en_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematicsen_US
thesis.degree.disciplineNatural Sciencesen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
ALLUMS-DOCUMENT-2016.pdf
Size:
426.7 KB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 2 of 2
No Thumbnail Available
Name:
PROQUEST_LICENSE.txt
Size:
5.84 KB
Format:
Plain Text
Description:
Download
No Thumbnail Available
Name:
LICENSE.txt
Size:
2.61 KB
Format:
Plain Text
Description:
Download
Collections
Rice University Theses and Dissertations