Néron models of algebraic curves
Langue
en
Article de revue
Ce document a été publié dans
Transactions of the American Mathematical Society. 2016-10-01, vol. 368, n° 10, p. 7019 - 7043
American Mathematical Society
Résumé en anglais
Let S be a Dedekind scheme with field of functions K. We show that if X_K is a smooth connected proper curve of positive genus over K, then it admits a Néron model over S, i.e., a smooth separated model of finite type ...Lire la suite >
Let S be a Dedekind scheme with field of functions K. We show that if X_K is a smooth connected proper curve of positive genus over K, then it admits a Néron model over S, i.e., a smooth separated model of finite type satisfying the usual Néron mapping property. It is given by the smooth locus of the minimal proper regular model of X_K over S, as in the case of elliptic curves. When S is excellent, a similar result holds for connected smooth affine curves different from the affine line, with locally finite type Néron models.< Réduire
Mots clés en anglais
good reduction
Néron model
curve
Origine
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