Abstract
We study relations among the classical thetanulls of cyclic curves, namely curves (of genus ) with an automorphism such that generates a normal subgroup of the group of automorphisms, and . 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 and in the locus for all that have a normal subgroup as above, and all possible signatures , via relations among their thetanulls.
Acknowledgements
The first ideas of this paper started during a visit of the second and third author at Boston University during the Summer 2006. Both the second and third author want to thank Prof. Previato for making that visit possible.
Citation
E. Previato. T. Shaska. G. S. Wijesiri. "THETANULLS OF CYCLIC CURVES OF SMALL GENUS." Albanian J. Math. 1 (4) 253 - 270, 2007. https://doi.org/10.51286/albjm/1197397985
Information