Abstract
Abstract We study the factoriality of a double cover X4 of ℙ 3 ramified along a nodal quartic surface, and we formulate a natural conjecture which would answer this problem depending on the number r, 8 ≤ r ≤ 10, of nodes of X4. We prove this conjecture when there is a nonsingular quadric surface containing all the nodes of X4.
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