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arXiv · 1311.7563

Moduli of real pointed quartic curves

Sander Rieken
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Abstract

We describe a natural open stratum in the moduli space of smooth real pointed quartic curves in the projective plane. This stratum consists of real isomorphism classes of pairs $(C, p)$ with $p$ a real point on the curve $C$ such that the tangent line at $p$ intersects the curve in two distinct points besides $p$. We will prove that this stratum consists of $20$ connected components. Each of these components has a real toric structure defined by an involution in the Weyl group of type $E_7$.

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Sander Rieken. 2013-11-29. Moduli of real pointed quartic curves. https://doi.org/10.1007/s10711-016-0174-0

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