The set of points at which a morphism of affine schemes is not finite
Colloquium Mathematicae (2002)
- Volume: 92, Issue: 1, page 59-66
- ISSN: 0010-1354
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topZbigniew Jelonek, and Marek Karaś. "The set of points at which a morphism of affine schemes is not finite." Colloquium Mathematicae 92.1 (2002): 59-66. <http://eudml.org/doc/283856>.
@article{ZbigniewJelonek2002,
abstract = {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.},
author = {Zbigniew Jelonek, Marek Karaś},
journal = {Colloquium Mathematicae},
keywords = {finite morphism; hypersurface; dominant morphism},
language = {eng},
number = {1},
pages = {59-66},
title = {The set of points at which a morphism of affine schemes is not finite},
url = {http://eudml.org/doc/283856},
volume = {92},
year = {2002},
}
TY - JOUR
AU - Zbigniew Jelonek
AU - Marek Karaś
TI - The set of points at which a morphism of affine schemes is not finite
JO - Colloquium Mathematicae
PY - 2002
VL - 92
IS - 1
SP - 59
EP - 66
AB - 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.
LA - eng
KW - finite morphism; hypersurface; dominant morphism
UR - http://eudml.org/doc/283856
ER -
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