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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
Oxford college:
Hertford College
Department:
Mathematical,Physical & Life Sciences Division - Mathematical Institute
Role:
Author

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Role:
Supervisor
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Funding agency for:
Sebastian Pancratz
Publication date:
2013
Type of award:
DPhil
Level of award:
Doctoral
URN:
uuid:b3a3d42c-203a-41ff-be1c-27f1018db3c8
Local pid:
ora:8039
Language:
English
Keywords:
Subjects:

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