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arXiv · 0711.0434

Non-adic formal schemes

Takehiko Yasuda
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Abstract

Our purpose is to make a contribution to the foundation of the theory of formal scheme. We are interested particularly in non-Noetherian or non-adic formal schemes, which have been little studied. We redefine the formal scheme as a proringed space and study its basic properties. We also find several examples of non-adic formal schemes.

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Takehiko Yasuda. 2007-11-03. Non-adic formal schemes. https://doi.org/10.1093/imrn%2Frnp021

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