论文标题
（2,2）型表面的稳定性和半稳定性
Stability and semi-stability of (2,2)-type surfaces
论文作者
论文摘要
我们描述了（2,2）-Type $ \ Mathbb {p}^1 \ times \ Mathbb {p}^2 $（即线性系统$ \ vertvertπ_1^*\ Mathcal {o} {O {o} 2 \ \ Mathime， π_2^*\ Mathcal {o} _ {\ Mathbb {p}^2}（2）\ vert $）是第二学位的del pezzo表面。为了获得紧凑型，我们表征稳定和半稳定（2,2）型表面，还确定严格半稳定（2,2）型表面的等效类。此外，我们描述了（2,2）型表面模量的边界。
We describe the GIT compactification of the moduli of (2,2)-type effective divisors of $\mathbb{P}^1\times\mathbb{P}^2$ (i.e., surfaces of the linear system $\vert π_1^*\mathcal{O}_{\mathbb{P}^1}(2)\otimes π_2^*\mathcal{O}_{\mathbb{P}^2}(2)\vert$ ) which are generically Del Pezzo surfaces of degree two. In order to get the compactification, we characterize stable and semi-stable (2,2)-type surfaces, and also determine the equivalence classes of strictly semi-stable (2,2)-type surfaces. Moreover, we describe the boundary of the moduli of (2,2)-type surfaces.
