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arXiv · 2007.07420

Sheaf theoretic compactifications of the space of rational quartic plane curves

Kiryong Chung
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Abstract

Let $R_4$ be the space of rational plane curves of degree $4$. In this paper, we obtain a sheaf theoretic compactification of $R_4$ via the space of $\alpha$-semistable pairs on $\mathbb{P}^2$ and its birational relations through wall-crossings of semistable pairs. We obtain the Poincar\'e polynomial of the compactified space.

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Kiryong Chung. 2020-07-15. Sheaf theoretic compactifications of the space of rational quartic plane curves. https://arxiv.org/abs/2007.07420

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