Families of curves and alterations

De Jong, A. Johan. "Families of curves and alterations." Annales de l'institut Fourier 47.2 (1997): 599-621. <http://eudml.org/doc/75239>.

@article{DeJong1997,
abstract = {In this article it is shown that any family of curves can be altered into a semi-stable family. This implies that if $S$ is an excellent scheme of dimension at most 2 and $X$ is a separated integral scheme of finite type over $S$, then $X$ can be altered into a regular scheme. This result is stronger then the results of [ Smoothness, semi-stability and alterations to appear in Publ. Math. IHES]. In addition we deal with situations where a finite group acts.},
author = {De Jong, A. Johan},
journal = {Annales de l'institut Fourier},
keywords = {family of curves; alterations; group actions},
language = {eng},
number = {2},
pages = {599-621},
publisher = {Association des Annales de l'Institut Fourier},
title = {Families of curves and alterations},
url = {http://eudml.org/doc/75239},
volume = {47},
year = {1997},
}

TY - JOUR
AU - De Jong, A. Johan
TI - Families of curves and alterations
JO - Annales de l'institut Fourier
PY - 1997
PB - Association des Annales de l'Institut Fourier
VL - 47
IS - 2
SP - 599
EP - 621
AB - In this article it is shown that any family of curves can be altered into a semi-stable family. This implies that if $S$ is an excellent scheme of dimension at most 2 and $X$ is a separated integral scheme of finite type over $S$, then $X$ can be altered into a regular scheme. This result is stronger then the results of [ Smoothness, semi-stability and alterations to appear in Publ. Math. IHES]. In addition we deal with situations where a finite group acts.
LA - eng
KW - family of curves; alterations; group actions
UR - http://eudml.org/doc/75239
ER -