Compactifying Spec Z

Details Compactifying Spec Z Compactifying Spec Z

2012-03-22

arxiv.org/abs/1203.4914v2

Mathematics

Algebraic Geometry

29 pages, 1 figure

Scientific paper

In this paper, we introduce a new algebraic type of `convexoid rings', and we
give the definition of (weak) convexoid schemes, which share similar properties
with ordinary schemes. As a result, we give a purely-algebraic construction of
the compactification of Spec Z (in Arakelov's sense) which is realized as the
Zariski-Riemann space in the category of weak convexoid schemes.

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