Arithmetically Gorenstein Calabi-Yau threefolds in $\mathbb{P}^7$
  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. 
Stephen Coughlan, Lukasz Golebiowski, Grzegorz Kapustka, Michal   Kapustka
math.AG