Grothendieck's connectedness theorem
id:
grothendieck-s-connectedness-theorem-317-5082492
title:
Grothendieck's connectedness theorem
text:
In mathematics, Grothendieck's connectedness theorem, states that if A is a complete Noetherian local ring whose spectrum is k-connected and f is in the maximal ideal, then Spec(A/fA) is (k − 1)-connected. Here a Noetherian scheme is called k-connected if its dimension is greater than k and the complement of every closed subset of dimension less than k is connected. It is a local analogue of Bertini's theorem.
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Grothendieck%27s_connectedness_theorem
date created:
date modified:
2023-12-26T23:37:22Z
main entity:
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13
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