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Thesis

Practical improvements to the deformation method for point counting

Abstract:

In this thesis we investigate practical aspects related to point counting problems on algebraic varieties over finite fields. In particular, we present significant improvements to Lauder’s deformation method for smooth projective hypersurfaces, which allow this method to be successfully applied to previously intractable instances.

Part I is dedicated to the deformation method, including a complete description of the algorithm but focussing on aspects for which we contribute original...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Hertford College
Role:
Author

Contributors

Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
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Funding agency for:
Pancratz, S
Grant:
Grant 204083
Publication date:
2013
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
UUID:
uuid:b3a3d42c-203a-41ff-be1c-27f1018db3c8
Local pid:
ora:8039
Deposit date:
2014-02-20

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