Local structure theorems for smooth maps of formal schemes

  title={Local structure theorems for smooth maps of formal schemes},
  author={Leovigildo Alonso and Ana Jeremias and Marta Perez},
  • Leovigildo Alonso, Ana Jeremias, Marta Perez
  • Published 2006
We deepen our study on infinitesimal lifting properties of maps between locally noetherian formal schemes started in [AJP]. In this paper, we focus on properties which make sense specifically in the formal context. In this vein, we make a detailed study of the relationship between the infinitesimal lifting properties of a morphism of formal schemes and those of the corresponding maps of usual schemes associated to the directed systems that define the corresponding formal schemes. Among our main… CONTINUE READING

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