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

Published 12 Dec 2023 in math.AG | (2312.07253v1)

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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