2-Weierstrass points of genus 3 hyperelliptic curves with extra involutions

Tanush Shaska, Caleb Shor

I-AIMS paper 2013-4 · Published in Comm. Algebra 45 (2017), 1879–1892 · 2017

We consider families of curves with extra automorphisms in ℋ₃, the moduli space of smooth hyperelliptic curves of genus g = 3. Such families of curves are explicitly determined in terms of the absolute invariants of binary octavics. For each family of positive dimension where |Aut(C)| > 4, we determine the possible distributions of weights of 2-Weierstrass points.

MSC classes: Primary 14H55; Secondary 14H10, 14H37

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References

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