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arXiv · 2412.07748

On the gluing of formal schemes

R. A. Calixto·T. H. Freitas·V. H. Jorge Pérez
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Abstract

The main focus of this paper is to show that the gluing of formal schemes is also a formal scheme. The algebraic approach established here also leads us to conclude when the gluing of $k$-formal schemes is a $k$-formal scheme. In addition, we derive that the gluing of formal schemes is always singular, regardless of whether we know the structure of the schemes involved.

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R. A. Calixto, T. H. Freitas, V. H. Jorge Pérez. 2024-12-10. On the gluing of formal schemes. https://arxiv.org/abs/2412.07748

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