HTML and/or PDF files in the folder othlist-cov
othlist-mt: Arithmetic and Homological Contributors to Modular Towers: Ties to the article called Modular Tower Time Line
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Papers on families of genus 0 covers of the sphere
These papers use techniques suitable for low genus covers. They come especially from problems on variables separated equations.
Papers below deal with the moduli of Riemann surfaces presented as covers of other Riemann surfaces This introduces invariants of families of covers interpreted as components of Hurwitz spaces.
We now know of many separators of components – including those generalizing the separation of θ-functions into even and odd types – based on aspects of the group theory attached to sequences of covers.
Papers below concentrate on finding non-trivial θ-nulls on Hurwitz spaces
Often θ-functions are about objects on Riemann surfaces related to integrals, so abelian covering theory. Yet, in their use in understanding families of covers they have often been restricted to surfaces presented as abelian covers of the sphere. Going beyond that that severe limitation is my main research objective.