The article “Jacobian varieties” by Milne is a modern treatment of the subject, and as such helps fill an important gap in the expository literature, since D. Mumford never wrote the second volume of his book Abelian varieties, and the book Abelian varieties by S. Lang was written in the language of Weil. The bibliographical notes to Milne's article are well worth reading; it is a pity that this kind of thing is not done more often.

Reviewed by H. Gillet