Rational Point Counts for del Pezzo Surfaces over Finite Fields and Coding Theory
The goal of this thesis is to apply an approach due to Elkies to study the distribution of rational point counts for certain families of curves and surfaces over finite fields. A vector space of polynomials over a fixed finite field gives rise to a linear code, and the weight enumerator of this cod...
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| Language: | en_US |
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Harvard University
2013
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| Online Access: | http://dissertations.umi.com/gsas.harvard:10896 http://nrs.harvard.edu/urn-3:HUL.InstRepos:11124839 |