<p>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 <i>k</i>-formal schemes is a <i>k</i>-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.</p>

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On the gluing of formal schemes

  • R. A. Calixto,
  • T. H. Freitas,
  • V. H. Jorge Pérez

摘要

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.