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arXiv · 2312.07253

Geometric invariants of $K3$ surfaces with purely non-symplectic automorphisms

Dominik Burek
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Abstract

We give new relations between geometric invariants of $K3$ surfaces with purely non-symplectic automorphisms of order 4 and 6. Our approach is based on a comparison of two methods of computation of formulas for the Euler characteristic of higher dimensional generalized Borcea-Vosin Calabi-Yau manifolds constructed in [Bur21].

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Dominik Burek. 2023-12-12. Geometric invariants of $K3$ surfaces with purely non-symplectic automorphisms. https://arxiv.org/abs/2312.07253

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