Abelian l-Adic Representations and Elliptic Curves (Research Notes in Mathematics) 1st Edition by Jean-Pierre Serre (PDF)

Description

This classic book contains an introduction to systems of l-adic representations, a topic of great importance in number theory and algebraic geometry, as reflected by the spectacular recent developments on the Taniyama-Weil conjecture and Fermat’s Last Theorem. The initial chapters are devoted to the Abelian case (complex multiplication), where one finds a nice correspondence between the l-adic representations and the linear representations of some algebraic groups (now called Taniyama groups). The last chapter handles the case of elliptic curves with no complex multiplication, the main result of which is that the image of the Galois group (in the corresponding l-adic representation) is “large.”

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book, as all books by Serre, is very good. He writes with precision, always giving the reader the central ideas. I can only think of Milnor as an author to compare to him. Buy the book if you are interested at all in the material. I am buying all books I can get by Serre.

⭐great reference if you are doing work in algebraic representations of geometric structures at the graduate level. There aren’t very many exercises, but as a graduate reference text, exercises don’t do a whole lot of good. great explanations, and clear proofs.

⭐

Keywords

Free Download Abelian l-Adic Representations and Elliptic Curves (Research Notes in Mathematics) 1st Edition in PDF format
Abelian l-Adic Representations and Elliptic Curves (Research Notes in Mathematics) 1st Edition PDF Free Download
Download Abelian l-Adic Representations and Elliptic Curves (Research Notes in Mathematics) 1st Edition 1997 PDF Free
Abelian l-Adic Representations and Elliptic Curves (Research Notes in Mathematics) 1st Edition 1997 PDF Free Download
Download Abelian l-Adic Representations and Elliptic Curves (Research Notes in Mathematics) 1st Edition PDF
Free Download Ebook Abelian l-Adic Representations and Elliptic Curves (Research Notes in Mathematics) 1st Edition