dc.contributor.author Previato, Emma dc.contributor.author Shaska, Tony dc.contributor.author Wijesiri, Sujeeva dc.date.accessioned 2017-12-01T18:14:15Z dc.date.available 2017-12-01T18:14:15Z dc.date.issued 2007-12-15 dc.identifier.citation Previato, E., Shaska, T., Wijesiri, G.S.: Thetanulls of cyclic curves of small genus. Albanian J. Math. 1(4), 253–270 (2007) en_US dc.identifier.issn 1930-1235 dc.identifier.uri http://hdl.handle.net/10323/4608 dc.description.abstract We study relations among the classical thetanulls of cyclic curves, namely curves $\X$ (of genus $g(\X )>1$ ) en_US with an automorphism $\s$ such that $\s$ generates a normal subgroup of the group $G$ of automorphisms, and $g \left( \X/ \<\s\> \right) =0$. Relations between thetanulls and branch points of the projection are the object of much classical work, especially for hyperelliptic curves, and of recent work, in the cyclic case. We determine the curves of genus 2 and 3 in the locus $\mathcal M_g (G, \textbf{C})$ for all $G$ that have a normal subgroup $\langle\s\rangle$ as above, and all possible signatures \textbf{C}, via relations among their thetanulls. dc.language.iso en_US en_US dc.publisher Albanian J. Math. en_US dc.subject thetanulls en_US dc.subject cyclic curves en_US dc.title Thetanulls of cyclic curves of small genus en_US dc.type Article en_US
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