University of Illinois Urbana-Champaign

Generalizations of Golod -Shafarevich and Applications

Kuhnt, Thomas

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Description

Title
Generalizations of Golod -Shafarevich and Applications
Author(s)
Kuhnt, Thomas
Issue Date
2002
Doctoral Committee Chair(s)
Boston, Nigel
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
Abstract
Let Nq(g) be the maximal number of rational points a global function field of genus g with constant field Fq can have. Let A(q) = lim sup g→infinity Nqg g . As an application of our results, we improve the best known lower bound for A(2) from A(2) > 0.255 to A(2) > 0.3.
Graduation Semester
2002
Type of Resource
text
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http://hdl.handle.net/2142/86795

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