Semistable reduction theorem
id:
semistable-reduction-theorem-253-8303763
title:
Semistable reduction theorem
text:
In algebraic geometry, semistable reduction theorems state that, given a proper flat morphism X → S , there exists a morphism S ′ → S such that X × S S ′ → S ′ is semistable. Precise formulations depend on the specific versions of the theorem.
For example, if S is the unit disk in C , then "semistable" means that the special fiber is a divisor with normal crossings. The fundamental semistable reduction theorem for Abelian varieties by Grothendieck shows that if A is an Abelian variety over the f
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wiki
category slug:
encyclopedia
description:
Mathematical theory in the field of algebraic geometry
original url:
https://en.wikipedia.org/wiki/Semistable_reduction_theorem
date created:
date modified:
2024-02-16T15:51:28Z
main entity:
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fields total:
13
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