Non-adic formal schemes

Details Non-adic formal schemes Non-adic formal schemes

2007-11-03

arxiv.org/abs/0711.0434v1

Mathematics

Algebraic Geometry

47 pages, This is a totally revised version of math.AG/0602542

Scientific paper

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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