Weighted Galois points for $K3$ surfaces in $\mathbb{P}(1,1,1, 3)$

Shingo Taki

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arXiv · 2608.18702

Weighted Galois points for $K3$ surfaces in $\mathbb{P}(1,1,1, 3)$

Shingo Taki

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Abstract

This paper introduces a generalization of classical Galois points by extending the ambient space from standard projective spaces to weighted projective spaces. Specifically, the study focuses on smooth weighted hypersurfaces of degree 6 in $\mathbb{P}(1,1,1,3)$ (which are $K3$ surfaces) to determine the defining equations and the number of weighted Galois points. Furthermore, it characterizes these $K3$ surfaces with weighted Galois points in terms of their automorphisms.

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BibTeX RIS

Shingo Taki. 2026-08-19. Weighted Galois points for $K3$ surfaces in $\mathbb{P}(1,1,1, 3)$. https://arxiv.org/abs/2608.18702

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