Use this URL to cite or link to this record in EThOS: https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.821146
Title: Birational non-rigidity of codimension 4 Fano 3-folds
Author: Campo, Livia
ISNI:       0000 0004 9358 311X
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 2020
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Abstract:
In this thesis we prove the birational non-rigidity of Picard rank 1 Fano 3-folds in codimension 4 having Fano index 1. This is done by explicitly constructing Sarkisov links for these varieties to other Mori fibre spaces. We also consider those Fano 3-folds in codimension 4 and Fano index 1 having Picard rank 2, and we identify a Mori fibre space in its birational equivalence class. In a final short chapter, we begin this program for Fano 3-folds in codimension 4 having Fano index 2 by demonstrating a construction of them as quotients of index 1 Fano 3-folds.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.821146  DOI: Not available
Keywords: QA Mathematics
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