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Birational models of terminal sextic double solids

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posted on 25.11.2020, 15:25 by Erik Paemurru
We study sextic double solids, which are double covers of ℙ^3 branched along a sextic surface. We impose that such a 3-fold carries an isolated compound A_n singularity, abbreviated by cA_n. We first prove the bound n ≤ 8 for having an isolated cA_n singularity. We then explicitly parametrize sextic double solids with an isolated cA_n singularity and show that general sextic double solids with a cA_n point with n ≥ 4 are birationally non-rigid viewed as Mori fibre spaces. Birational non-rigidity is shown by constructing Sarkisov links starting with an extremal divisorial extraction from the singular point in each case.

Funding

On birational relations among singular Fano varieties

Engineering and Physical Sciences Research Council

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History

School

  • Science

Department

  • Mathematical Sciences

Publisher

Loughborough University

Rights holder

© Erik Paemurru

Publication date

2020

Notes

A doctoral thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy of Loughborough University.

Language

en

Supervisor(s)

Hamid Ahmadinezhad

Qualification name

PhD

Qualification level

Doctoral

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