论文标题
del pezzo Quintics作为矢量组的等效压缩
Del Pezzo quintics as equivariant compactifications of vector groups
论文作者
论文摘要
我们研究了忠实的行动，该行动是在特征零领域的五五季del pezzo品种上的阿贝里安一级群体的密集轨道。这些品种是5维矢量空间中晶格的司晶的线性部分的形式。我们表征哪种平滑形式承认这些类型的动作，并表明在存在的情况下，该动作是独一无二的，直到自动形态为等效性。我们还对轻度奇异的五重峰三倍和表面进行了类似的分类。
We study faithful actions with a dense orbit of abelian unipotent groups on quintic del Pezzo varieties over a field of characteristic zero. Such varieties are forms of linear sections of the Grassmannian of planes in a 5-dimensional vector space. We characterize which smooth forms admit these types of actions and show that in case of existence, the action is unique up to equivalence by automorphisms. We also give a similar classification for mildly singular quintic del Pezzo threefolds and surfaces.
