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 Poincaré polynomial of the compactified space.
Funding Statement
Kiryong Chung is partially supported by Korea NRF grant
2019R1F1A1042516.
Acknowledgments
The author would like to thank Dawei Chen for suggesting this topic and Jinhyung Park for helpful discussions and comments.
Citation
Kiryong Chung. "Sheaf Theoretic Compactifications of the Space of Rational Quartic Plane Curves." Taiwanese J. Math. 25 (3) 463 - 476, June, 2021. https://doi.org/10.11650/tjm/210103
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