From the introduction: This paper is an expository account about compactified Picard schemes of nodal curves and some related topics. After some preliminaries, Néron models are used to classify different compactified Picard schemes, Abel maps are studied accordingly, and finally some recent results on the Theta divisor are reviewed. Several examples are included, as an attempts to elucidate some important parts that require a consistent amount of technical work to be rigorously settled. To fill out the unavoidable gaps, various references are given throughout the paper.
For the entire collection see [Zbl 1143.14001].