Abstract
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.
Funding Statement
This work was supported by JSPS KAKENHI Grant Number JP16J04485 and JP19K14504, and by World Premier International Research Center Initiative (WPI), MEXT, Japan.
Citation
Ryo YAMAGISHI. "Singularities of Fano varieties of lines on singular cubic fourfolds." J. Math. Soc. Japan 74 (2) 549 - 570, April, 2022. https://doi.org/10.2969/jmsj/82688268
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