Birationally rigid complete intersections

Birationally rigid complete intersections

This thesis studies the birational geometry of Fano complete intersections of index one with simple singularities, in particular constructing families which are birationally superrigid. There are two cases considered, Fano complete intersections of codimension two and Fano complete intersections of...

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Main Author: Evans, Daniel
Other Authors: Pukhlikov, Aleksandr
Published: University of Liverpool 2018
Online Access:https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.762817
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spelling ndltd-bl.uk-oai-ethos.bl.uk-7628172019-02-12T03:22:43ZBirationally rigid complete intersectionsEvans, DanielPukhlikov, Aleksandr2018This thesis studies the birational geometry of Fano complete intersections of index one with simple singularities, in particular constructing families which are birationally superrigid. There are two cases considered, Fano complete intersections of codimension two and Fano complete intersections of high codimension. In each case the construction of the birationally superrigid families allows estimates of the codimension of the locus of non-birationally superrigid varieties.University of Liverpoolhttps://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.762817http://livrepository.liverpool.ac.uk/3028001/Electronic Thesis or Dissertation
collection NDLTD
sources NDLTD
description This thesis studies the birational geometry of Fano complete intersections of index one with simple singularities, in particular constructing families which are birationally superrigid. There are two cases considered, Fano complete intersections of codimension two and Fano complete intersections of high codimension. In each case the construction of the birationally superrigid families allows estimates of the codimension of the locus of non-birationally superrigid varieties.
author2 Pukhlikov, Aleksandr
author_facet Pukhlikov, Aleksandr
Evans, Daniel
author Evans, Daniel
spellingShingle Evans, Daniel
Birationally rigid complete intersections
author_sort Evans, Daniel
title Birationally rigid complete intersections
title_short Birationally rigid complete intersections
title_full Birationally rigid complete intersections
title_fullStr Birationally rigid complete intersections
title_full_unstemmed Birationally rigid complete intersections
title_sort birationally rigid complete intersections
publisher University of Liverpool
publishDate 2018
url https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.762817
work_keys_str_mv AT evansdaniel birationallyrigidcompleteintersections
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