Singularities of Fano varieties of lines on singular cubic fourfolds
2022 年 74 巻 2 号 p. 549-570
詳細
2022 年 74 巻 2 号 p. 549-570
Let 𝑋 be a cubic fourfold that has only simple singularities and does not contain a plane. We prove that the Fano variety of lines on 𝑋 has the same analytic type of singularity as the Hilbert scheme of two points on a surface with only ADE-singularities.
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