About: Semistable reduction theorem

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In algebraic geometry, the semistable reduction theorem states that, given a proper flat morphism , there exists a morphism (called base change) such that is semistable (i.e., the singularities are mild in some sense). For example, if is the unit disk in , then "semistable" means that the special fiber is a divisor with normal crossings. The semistable reduction theorem for curves was first proved by Deligne and Mumford; the proof relied on the semistable reduction theorem for abelian varieties.

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dbo:abstract	In algebraic geometry, the semistable reduction theorem states that, given a proper flat morphism , there exists a morphism (called base change) such that is semistable (i.e., the singularities are mild in some sense). For example, if is the unit disk in , then "semistable" means that the special fiber is a divisor with normal crossings. The semistable reduction theorem for curves was first proved by Deligne and Mumford; the proof relied on the semistable reduction theorem for abelian varieties. (en)
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rdfs:comment	In algebraic geometry, the semistable reduction theorem states that, given a proper flat morphism , there exists a morphism (called base change) such that is semistable (i.e., the singularities are mild in some sense). For example, if is the unit disk in , then "semistable" means that the special fiber is a divisor with normal crossings. The semistable reduction theorem for curves was first proved by Deligne and Mumford; the proof relied on the semistable reduction theorem for abelian varieties. (en)
rdfs:label	Semistable reduction theorem (en)
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