On threefolds with the smallest nontrivial monodromy group
Abstract
Using an adjunction-theoretic result due to A.J.Sommese together with a proposition from SGA7, we obtain a complete list of smooth threefolds for which the monodromy group acting on H2 of its smooth hyperplane section is Z/2 Z. The possibility of such a classification was announced by F.L.Zak in 1991.
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