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arXiv · 1511.07508

Two rational nodal quartic threefolds

Ivan Cheltsov·Constantin Shramov
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Abstract

We prove that the quartic threefolds defined by $$ \sum_{i=0}^{5}x_i=\sum_{i=0}^{5}x_i^4-t\left(\sum_{i=0}^{5}x_i^2\right)^2=0 $$ in $\mathbb{P}^5$ are rational for $t=\frac{1}{6}$ and $t=\frac{7}{10}$.

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Ivan Cheltsov, Constantin Shramov. 2016-04-02. Two rational nodal quartic threefolds. https://arxiv.org/abs/1511.07508

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