“Geometric quotients are algebraic schemes” based on Fogarty’s idea
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چکیده
منابع مشابه
“Geometric quotients are algebraic schemes” based on Fogarty’s idea
Let S be a Noetherian scheme, φ : X → Y a surjective S-morphism of S-schemes, with X of finite type over S. We discuss what makes Y of finite type. First, we prove that if S is excellent, Y is reduced, and φ is universally open, then Y is of finite type. We apply this to understand Fogarty’s theorem in “Geometric quotients are algebraic schemes, Adv. Math. 48 (1983), 166–171” for the special ca...
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Let S be a Noetherian scheme, φ : X → Y a surjective S-morphism of S-schemes, with X of finite type over S. We discuss what makes Y of finite type. First, we prove that if S is excellent, Y is reduced, and φ is universally open, then Y is of finite type. We apply this to understand Fogarty’s theorem in “Geometric quotients are algebraic schemes, Adv. Math. 48 (1983), 166–171” for the special ca...
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ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 2003
ISSN: 2156-2261
DOI: 10.1215/kjm/1250281736