Fundamental Algebraic Geometry: Grothendieck's Fga Explained

by Lothar Gottsche

Alexander Grothendieck's concepts turned out to be astoundinglypowerful and productive, truly revolutionizing algebraic geometry. Hesketched his new theories in talks given at the Seminaire Bourbaki, between 1957 and 1962. He, then, collected these lectures in a seriesof articles in Fondements de la geometrie algebrique (commonlyknown as FGA). Much of FGA is now common knowledge. However, some of it is less well-known, and only a few geometers are familiar withits full scope. The goal of the current book, which resulted from the 2003Advanced School in Basic Algebraic Geometry (Trieste, Italy), is to fill inthe gaps in Grothendieck's very condensed outline of his theorie

Hardcover

First published October 1, 2005

Reviews

[Chris]

I enjoyed the final chapter, a reprint of Steven L Kleiman's article on Picard schemes. If you want to connect applications or history to scheme theory, read it.

Descent theory feels like a waste of time, so this book gets negative points for choosing a boring topic.

The writing style is not bad.