Practical improvements to the deformation method for point counting
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...Expand abstract
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- University of Oxford
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- Pancratz, S
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