Thesis
Practical improvements to the deformation method for point counting
- Abstract:
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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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(Dissemination version, bin, 1.2MB)
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Funding
+ European Research Council
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Name:
European Research Council
Funding agency for:
Pancratz, SF
Grant:
Grant 204083
Bibliographic Details
- Publication date:
- 2013
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- University of Oxford
Item Description
- Language:
- English
- Keywords:
- Subjects:
- UUID:
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uuid:b3a3d42c-203a-41ff-be1c-27f1018db3c8
- Local pid:
- ora:8039
- Deposit date:
- 2014-02-20
Terms of use
- Copyright holder:
- Pancratz, SF
- Copyright date:
- 2012
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