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Regular version of the site

Article

Which quartic double solids are rational?

Journal of Algebraic Geometry. 2019. Vol. 28. P. 201-243.

We study the rationality problem for nodal quartic double solids. In
particular, we prove that nodal quartic double solids with at most six
singular points are irrational and nodal quartic double solids with at
least eleven singular points are rational.