Integral points on curves
Serge Lang (1960)
Publications Mathématiques de l'IHÉS
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Serge Lang (1960)
Publications Mathématiques de l'IHÉS
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Bas Edixhoven (1993-1994)
Séminaire Bourbaki
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Angelo Vistoli (1989)
Compositio Mathematica
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A. Buium (1989)
Compositio Mathematica
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Bas Edixhoven (1992)
Compositio Mathematica
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David Mumford (1972)
Compositio Mathematica
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A. Johan De Jong (1997)
Annales de l'institut Fourier
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In this article it is shown that any family of curves can be altered into a semi-stable family. This implies that if is an excellent scheme of dimension at most 2 and is a separated integral scheme of finite type over , then 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.