S. Bosch, W. L¨utkebohmert et M. Raynaud, N´eron models, Springer Ergebnisse, Volume 21 (Springer, 1990). MR1045822
Neron model: Book by Bosch et al under Ell curves folder
Chapter IV of Silverman II
Stein: What are Neron models. In ell curves folder
Hayama: Neron models of Green-Griffiths-Kerr and log Neron models http://front.math.ucdavis.edu/0912.4334
http://mathoverflow.net/questions/2765/neron-theory-for-motives-of-arbitrary-weight
http://mathoverflow.net/questions/12923/are-there-neron-models-over-higher-dimensional-base-schemes
arXiv:0909.1849 Canonical extensions of Néron models of Jacobians from arXiv Front: math.NT by Bryden Cais Let A be the Néron model of an abelian variety A_K over the fraction field K of a discrete valuation ring R. Due to work of Mazur-Messing, there is a functorial way to prolong the universal extension of A_K by a vector group to a smooth and separated group scheme over R, called the canonical extension of A. In this paper, we study the canonical extension when A_K=J_K is the Jacobian of a smooth proper and geometrically connected curve X_K over K. Assuming that X_K admits a proper flat regular model X over R that has generically smooth closed fiber, our main result identifies the identity component of the canonical extension with a certain functor Pic^{\natural,0}_{X/R} classifying line bundles on X that have partial degree zero on all components of geometric fibers and are equipped with a regular connection. This result is a natural extension of a theorem of Raynaud, which identifies the identity component of the Néron model J of J_K with the functor Pic^0_{X/R}. As an application of our result, we prove a comparison isomorphism between two canonical integral structures on the de Rham cohomology of X_K.
arXiv:1209.5556 Néron models and base change from arXiv Front: math.AG by Lars Halvard Halle, Johannes Nicaise We study various aspects of the behaviour of Néron models of semi-abelian varieties under finite extensions of the base field, with a special emphasis on wildly ramified Jacobians. In Part 1, we analyze the behaviour of the component groups of the Néron models, and we prove rationality results for a certain generating series encoding their orders. In Part 2, we discuss Chai’s base change conductor and Edixhoven’s filtration, and their relation to the Artin conductor. All of these results are applied in Part 3 to the study of motivic zeta functions of semi-abelian varieties. Part 4 contains some intriguing open problems and directions for further research. The main tools in this work are non-archimedean uniformization and a detailed analysis of the behaviour of regular models of curves under base change.
nLab page on Neron models