Arithmetically Gorenstein Calabi-Yau threefolds in $\mathbb{P}^7$

preprint2016arXivOpen access

We present a list of arithmetically Gorenstein Calabi-Yau threefolds in $\mathbb{P}^7$ and give evidence that this is a complete list. In particular we construct three new families of arithmetically Gorenstein Calabi-Yau threefolds in $\mathbb{P}^7$ for which no mirror construction is known.

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Arithmetically Gorenstein Calabi-Yau threefolds in $\mathbb{P}^7$

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Arithmetically Gorenstein Calabi-Yau threefolds in P7\mathbb{P}^7P7

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Arithmetically Gorenstein Calabi-Yau threefolds in $\mathbb{P}^7$