English

On the gluing of formal schemes

Commutative Algebra 2024-12-11 v1

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 kk-formal schemes is a kk-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.

Keywords

Cite

@article{arxiv.2412.07748,
  title  = {On the gluing of formal schemes},
  author = {R. A. Calixto and T. H. Freitas and V. H. Jorge Pérez},
  journal= {arXiv preprint arXiv:2412.07748},
  year   = {2024}
}