Amazon cover image
Image from Amazon.com
Image from Google Jackets

Complex multiplication

By: Material type: TextTextLanguage: English Series: Grundlehren der mathematischen Wissenschaften ; 255Publication details: New York Springer-Verlag 1986Description: viii, 184pISBN:
  • 3540907866 (HB)
Subject(s):
Contents:
1 Analytic complex multiplication 2 Some algebraic properties of Abelian varieties 3 Algebraic complex multiplication 4 The CM character 5 Fields of moduli, Kummer varieties, and descents 6 The type norm 7 Arbitrary conjugations of CM types
Summary: The small book by Shimura-Taniyama on the subject of complex multi­ is a classic. It gives the results obtained by them (and some by Weil) plication in the higher dimensional case, generalizing in a non-trivial way the method of Deuring for elliptic curves, by reduction mod p. Partly through the work of Shimura himself (cf. [Sh 1] [Sh 2], and [Sh 5]), and some others (Serre, Tate, Kubota, Ribet, Deligne etc.) it is possible today to make a more snappy and extensive presentation of the fundamental results than was possible in 1961.
Item type: BOOKS
Tags from this library: No tags from this library for this title. Log in to add tags.
Star ratings
    Average rating: 0.0 (0 votes)
Holdings
Home library Call number Materials specified Status Date due Barcode
IMSc Library 511.236 LAN (Browse shelf(Opens below)) Checked out 25/10/2025 19648

Includes index

Includes bibliography (p. 179-181) and references

1 Analytic complex multiplication
2 Some algebraic properties of Abelian varieties
3 Algebraic complex multiplication
4 The CM character
5 Fields of moduli, Kummer varieties, and descents
6 The type norm
7 Arbitrary conjugations of CM types

The small book by Shimura-Taniyama on the subject of complex multi­ is a classic. It gives the results obtained by them (and some by Weil) plication in the higher dimensional case, generalizing in a non-trivial way the method of Deuring for elliptic curves, by reduction mod p. Partly through the work of Shimura himself (cf. [Sh 1] [Sh 2], and [Sh 5]), and some others (Serre, Tate, Kubota, Ribet, Deligne etc.) it is possible today to make a more snappy and extensive presentation of the fundamental results than was possible in 1961.

There are no comments on this title.

to post a comment.
The Institute of Mathematical Sciences, Chennai, India