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arXiv · 2105.11604

Limit Weierstrass Points on the Kenyon-Smillie Family of Plane Quartics

R. F. Lax
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Abstract

Costantini and Kappes gave an algebraic equation of the universal family over the Kenyon-Smillie (2,3,4)-Teichm\"uller curve. This equation gives rise to a family of projective plane quartic curves with three singular members. These singular curves are: (1) an integral nodal quartic, (2) the union of a line and a nodal cubic, and (3) a quadruple line. We determine the limit Weierstrass points on these singular curves.

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R. F. Lax. 2021-05-25. Limit Weierstrass Points on the Kenyon-Smillie Family of Plane Quartics. https://arxiv.org/abs/2105.11604

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