Hagen
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Unregistered User
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Jan 26 |
awarded | ● Yearling |
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Jan 15 |
answered | Which clustering algorithm could I use to group 2D points that are arranged over a time series? |
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Jan 10 |
accepted | Henselization of valued field |
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Jan 10 |
answered | Henselization of valued field |
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Jan 10 |
comment |
Connectedness principle in algebraic geometry @ pravnak: the normalization is defined in a general setting in definition 24.48.3 of the Stacks Project ( stacks.math.columbia.edu/tag/035E ). As you see no reducedness assumption is necessary. |
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Jan 9 |
comment |
Connectedness principle in algebraic geometry A good, general presentation of Stein factorization and related topics covering even the non-noetherian case can be found in the Stacks Project (stacks.math.columbia.edu). To me the most remarkable fact is, that the finite morphism appearing in the Stein factorization is the normalization of the base scheme $Y$ in $X$. Thus the obstructions to getting geometrically connected fibres lie in the behavior of the normalization. This is particularly useful if for example $X$ is itself normal and $Y$ is affine. |
