Tonoli's Calabi--Yau threefolds revisited
classification
🧮 math.AG
keywords
calabi--yauthreefoldstonolicomplexconstructiondegreeelementsexamples
read the original abstract
We find a simple geometric construction of Tonoli's examples of Calabi--Yau threefolds of degree 17 in complex $\mathbb{P}^6$. We prove that the rank of the Picard group of elements of one of these families is at least $2$.
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