The set of points at which a morphism of affine schemes is not finite

• Autorzy: Zbigniew Jelonek , Marek Karaś
• Języki publikacji: EN

Abstrakty

EN

Assume that X,Y are integral noetherian affine schemes. Let f:X → Y be a dominant, generically finite morphism of finite type. We show that the set of points at which the morphism f is not finite is either empty or a hypersurface. An example is given to show that this is no longer true in the non-noetherian case.

Kategorie tematyczne

• 14E22: Ramification problems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 92
• Numer: 1
• Strony: 59-66

Daty

wydano

2002

Twórcy

autor

Zbigniew Jelonek

• Zbigniew Jelonek, Institute of Mathematics, Polish Academy of Sciences, Św. Tomasza 30, 31-027 Kraków, Poland

autor

Marek Karaś

• Institute of Mathematics, Polish Academy of Sciences, Św. Tomasza 30, 31-027 Kraków, Poland
• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Identyfikatory

DOI

10.4064/cm92-1-5