Abstract
We study the geometry of quintic threefolds [Formula: see text] with only ordinary triple points as singularities. In particular, we show that if a quintic threefold [Formula: see text] has a reducible hyperplane section then [Formula: see text] has at most [Formula: see text] ordinary triple points, and that this bound is sharp. We construct various examples of quintic threefolds with triple points and discuss their defect.
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