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#zariski's_main_theorem

Zariski's main theorem

Theorem of algebraic geometry and commutative algebra

In algebraic geometry, Zariski's main theorem, proved by Oscar Zariski, is a statement about the structure of birational morphisms stating roughly that there is only one branch at any normal point of a variety. It is the special case of Zariski's connectedness theorem when the two varieties are birational.

Tue 25th

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Zariski's main theorem Zariski's connectedness theorem Oscar Zariski Connectedness theorem List of theorems Analytically normal ring Closed graph theorem Pierre Deligne Main theorem of elimination theory ZMT
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