Abstract
This is an exposition of the main theorem of Néron’s paper [2], and of Raynaud’s subsequent work on the problem.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Kodaira, K. On compact analytic surfaces, II. Ann. Math., 77 (1963), 563–626.
Néron, A. Modèles minimaux des variétés abéliennes sur les corps locaux et globaux. Publ. Math. I.H.E.S., 21 (1964).
Raynaud, M. Modèles de Néron. C.R. Acad. Sci. Paris, 262 (1966), 413–416.
Raynaud, M. Faisceaux Amples sur les Schémes en groupes et les Espaces Homogènes. Springer Lecture Notes, 119. Springer-Verlag: Berlin, 1970.
Raynaud, M. Spécialization du foncteur de Picard. Publ. Math. I.H.E.S., 38, (1971).
Weil, A. Variétés Abéliennes et Courbes Algébriques. Hermann, Paris, 1948.
Zariski, O. The reduction of singularities of an algebraic surface. Ann. Math., 40 (1939), 639–689.
SGA3. Séminaire de Geométrie Algébrique 1964: Schémas en Groupes, éxposé XVIII. Lecture Notes in Mathematics, 152. Springer-Verlag: Berlin, 1970.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1986 Springer-Verlag New York Inc.
About this chapter
Cite this chapter
Artin, M. (1986). Néron Models. In: Cornell, G., Silverman, J.H. (eds) Arithmetic Geometry. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8655-1_8
Download citation
DOI: https://doi.org/10.1007/978-1-4613-8655-1_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4613-8657-5
Online ISBN: 978-1-4613-8655-1
eBook Packages: Springer Book Archive