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arXiv · 1309.6787

K3 surfaces with non-symplectic automorphisms of order three and Calabi-Yau orbifolds

Frank Reidegeld
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Abstract

Let S be a K3 surface that admits a non-symplectic automorphism $ρ$ of order 3. We divide $S\times \mathbb{P}^1$ by $ρ\timesψ$ where $ψ$ is an automorphism of order 3 of $\mathbb{P}^1$. There exists a threefold ramified cover of a partial crepant resolution of the quotient that is a Calabi-Yau orbifold. We compute the Euler characteristic of our examples and obtain values ranging from 30 to 219.

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Frank Reidegeld. 2015-04-22. K3 surfaces with non-symplectic automorphisms of order three and Calabi-Yau orbifolds. https://arxiv.org/abs/1309.6787

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