Abstract
We have had several indications that the underlying point set of a scheme is peculiar from a geometric point of view. Non-closed points are odd for one thing. A serious difficulty is that the point set of a fibre product X ×S Y does not map injectively into the set-theoretic product of X and Y. For example:
Keywords
- Fibre Product
- Closed Subscheme
- Canonical Morphism
- Faithful Functor
- Open Affine
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© 1988 Springer-Verlag Berlin Heidelberg
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Mumford, D. (1988). The functor of points of a prescheme. In: The Red Book of Varieties and Schemes. Lecture Notes in Mathematics, vol 1358. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21581-4_16
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DOI: https://doi.org/10.1007/978-3-662-21581-4_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50497-9
Online ISBN: 978-3-662-21581-4
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