I‑AIMS Institute for Artificial Intelligence
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Theta functions of superelliptic curves

Lubjana Beshaj, Artur Elezi, Tanush Shaska

I-AIMS paper 2015-4 · Published in NATO Sci. Peace Secur. Ser. D Inf. Commun. Secur. 41 (2015), 47–69 · 2015

In this short survey we give a description of the theta functions of algebraic curves, half-integer theta-nulls, and the fundamental theta functions. We describe how to determine such fundamental theta functions and describe the components of the moduli space in terms of such functions. Several open problems are suggested.

MSC classes: Primary 11G30; Secondary 11F27, 14H42, 14H45

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References

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