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arxiv: 1609.01195 · v1 · pith:BW5S6SXEnew · submitted 2016-09-05 · 🧮 math.AG

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

classification 🧮 math.AG
keywords arithmeticallycalabi-yaugorensteinmathbbthreefoldslistcompleteconstruct
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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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