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2021 Sheaf Theoretic Compactifications of the Space of Rational Quartic Plane Curves
Kiryong Chung
Taiwanese J. Math. Advance Publication 1-14 (2021). DOI: 10.11650/tjm/210103

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.

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Kiryong Chung. "Sheaf Theoretic Compactifications of the Space of Rational Quartic Plane Curves." Taiwanese J. Math. Advance Publication 1 - 14, 2021. https://doi.org/10.11650/tjm/210103

Information

Published: 2021
First available in Project Euclid: 15 January 2021

Digital Object Identifier: 10.11650/tjm/210103

Subjects:
Primary: 14E05, 14E15, 14M15

Rights: Copyright © 2021 The Mathematical Society of the Republic of China

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