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Working paper

The Disjoint Divisors Theorem for Complete Varieties

Bogomolov F. A., Silberstein A. M.
Given an infinite collection of pairwise-disjoint, Zariski-closed, connected, codimension-1 subvarieties of a complete, normal, irreducible algebraic variety over an algebraically-closed field, we prove that there exists a regular, nonconstant morphism to a complete curve so that each of these divisors is contained in a fiber of this morphism.