Thomae's formulae for non-hyperelliptic curves and spinorial square roots of theta-constants on the moduli space of curves

Details Thomae's formulae for non-hyperelliptic curves and spinorial square roots of theta-constants on the moduli space of curves Thomae's formulae for non-hyperelliptic curves and spinorial square roots of theta-constants on the moduli space of curves

2008-02-21

arxiv.org/abs/0802.3014v2

Mathematics

Algebraic Geometry

38 pages, section ``Preliminaries'' expanded into ``Principal symmetric abelian torsors'' and ``Level structures and moduli''

Scientific paper

Determinantal formulae for Jacobian theta functions that go back to Klein are
elaborated, via an idea due to Matone and Volpato. Also, the natural square
roots of theta constants on the moduli space of curves whose existence was
shown by Tsuyumine are proved to have a spinorial structure.

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