有理四次平面曲线空间的束理论紧化

arXiv: Algebraic Geometry Pub Date : 2020-07-15 DOI:10.11650/TJM/210103

Kiryong Chung

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引用次数: 1

摘要

设$R_4$为次$4$的有理平面曲线空间。本文在$\mathbb{P}^2$上的$\ α $-半稳定对空间上得到$R_4$的束理论紧化，并通过半稳定对的壁交得到$R_4$的族关系。得到了紧化空间的庞加莱多项式。

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Sheaf Theoretic Compactifications of the Space of Rational Quartic Plane Curves

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 Poincare polynomial of the compactified space.

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arXiv: Algebraic Geometry

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