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arxiv: 0803.3301 · v2 · submitted 2008-03-23 · 🧮 math.AG · math.AC

Factorial threefold hypersurfaces

classification 🧮 math.AG math.AC
keywords factorialpointscasedegreedoublehypersurfacehypersurfacesisolated
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Let $X$ be a hypersurface in $\mathbb{P}^{4}$ of degree $d$ that has at most isolated ordinary double points. We prove that $X$ is factorial in the case when $X$ has at most $(d-1)^{2}-1$ singular points.

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