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Birational non-rigidity of codimension 4 Fano 3-folds
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Campo, Livia (2020) Birational non-rigidity of codimension 4 Fano 3-folds. PhD thesis, University of Warwick.
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WRAP_Theses_Campo_2020.pdf - Submitted Version - Requires a PDF viewer. Download (1110Kb) | Preview |
Official URL: http://webcat.warwick.ac.uk/record=b3488912~S15
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.
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Threefolds (Algebraic geometry), Geometry, Algebraic, Surfaces, Algebraic, Picard groups | ||||
Official Date: | April 2020 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | Mathematics Institute | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Brown, Gavin Dennis | ||||
Format of File: | |||||
Extent: | vi, vii, 122 leaves : illustrations. | ||||
Language: | eng |
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