Solvability of curves on surfaces

Ananyo Dan; Mohamad Zaman Fashami; Natascia Zangani

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arXiv · 1705.03041

Solvability of curves on surfaces

Ananyo Dan·Mohamad Zaman Fashami·Natascia Zangani

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Abstract

In this article, we study subloci of solvable curves in $\mathcal{M}_g$ which are contained in either a K3-surface or a quadric or a cubic surface. We give a bound on the dimension of such subloci. In the case of complete intersection genus $g$ curves in a cubic surface, we show that a general such curve is solvable.

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BibTeX RIS

Ananyo Dan, Mohamad Zaman Fashami, Natascia Zangani. 2017-05-08. Solvability of curves on surfaces. https://arxiv.org/abs/1705.03041

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