Cargando…
Abelian varieties with complex multiplication and modular functions /
Reciprocity laws of various kinds play a central role in number theory. In the easiest case, one obtains a transparent formulation by means of roots of unity, which are special values of exponential functions. A similar theory can be developed for special values of elliptic or elliptic modular funct...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton, N.J. :
Princeton University Press,
[1998]
|
| Colección: | Princeton mathematical series ;
46. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Ii 4500 | ||
|---|---|---|---|
| 001 | JSTOR_ocn948756454 | ||
| 003 | OCoLC | ||
| 005 | 20231005004200.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 160505s1998 nju ob 001 0 eng d | ||
| 010 | |a 97008673 | ||
| 040 | |a N$T |b eng |e rda |e pn |c N$T |d N$T |d YDXCP |d JSTOR |d OCLCF |d UIU |d IOG |d EZ9 |d TXC |d LVT |d OCLCA |d UKAHL |d OCLCQ |d UX1 |d OCLCO |d INARC |d OCLCQ |d OCLCO | ||
| 019 | |a 1175627108 | ||
| 020 | |a 9781400883943 |q (electronic bk.) | ||
| 020 | |a 1400883946 |q (electronic bk.) | ||
| 020 | |z 0691016569 | ||
| 020 | |z 9780691016566 | ||
| 029 | 1 | |a AU@ |b 000062471963 | |
| 029 | 1 | |a GBVCP |b 1003820816 | |
| 035 | |a (OCoLC)948756454 |z (OCoLC)1175627108 | ||
| 037 | |a 22573/ctt1bqrs2r |b JSTOR | ||
| 050 | 4 | |a QA564 | |
| 072 | 7 | |a MAT |x 038000 |2 bisacsh | |
| 072 | 7 | |a MAT022000 |2 bisacsh | |
| 082 | 0 | 4 | |a 514.3 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Shimura, Gorō, |d 1930-2019, |e author. | |
| 245 | 1 | 0 | |a Abelian varieties with complex multiplication and modular functions / |c Goro Shimura. |
| 264 | 1 | |a Princeton, N.J. : |b Princeton University Press, |c [1998] | |
| 264 | 4 | |c ©1998 | |
| 300 | |a 1 online resource (xiv, 217 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file |2 rda | ||
| 490 | 1 | |a Princeton mathematical series ; |v 46 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | 0 | |t Preface to Complex Multiplication of Abelian Varieties and Its Applications to Number Theory (1961) -- |g Ch. I. |t Preliminaries on Abelian Varieties -- |g Ch. II. |t Abelian Varieties with Complex Multiplication -- |g Ch. III. |t Reduction of Constant Fields -- |g Ch. IV. |t Construction of Class Fields -- |g Ch. V. |t The Zeta Function of an Abelian Variety with Complex Multiplication -- |g Ch. VI. |t Families of Abelian Varieties and Modular Functions -- |g Ch. VII. |t Theta Functions and Periods on Abelian Varieties. |
| 520 | |a Reciprocity laws of various kinds play a central role in number theory. In the easiest case, one obtains a transparent formulation by means of roots of unity, which are special values of exponential functions. A similar theory can be developed for special values of elliptic or elliptic modular functions, and is called complex multiplication of such functions. In 1900, Hilbert proposed the generalization of these as the twelfth of his famous problems. In this book, Goro Shimura provides the most comprehensive generalizations of this type by stating several reciprocity laws in terms of abelian varieties, theta functions, and modular functions of several variables, including Siegel modular functions. | ||
| 520 | 8 | |a This subject is closely connected with the zeta function of an abelian variety, which is also covered as a main theme in the book. The third topic explored by Shimura is the various algebraic relations among the periods of abelian integrals. | |
| 588 | 0 | |a Online resource; title from PDF title page (EBSCO, viewed May 5, 2016). | |
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 650 | 0 | |a Abelian varieties. | |
| 650 | 0 | |a Modular functions. | |
| 650 | 6 | |a Variétés abéliennes. | |
| 650 | 6 | |a Fonctions modulaires. | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Number Theory. |2 bisacsh | |
| 650 | 7 | |a Abelian varieties |2 fast | |
| 650 | 7 | |a Modular functions |2 fast | |
| 830 | 0 | |a Princeton mathematical series ; |v 46. | |
| 856 | 4 | 0 | |u https://jstor.uam.elogim.com/stable/10.2307/j.ctt1bpm9xq |z Texto completo |
| 938 | |a Internet Archive |b INAR |n abelianvarieties0000shim | ||
| 938 | |a Askews and Holts Library Services |b ASKH |n AH31319098 | ||
| 938 | |a EBSCOhost |b EBSC |n 1231021 | ||
| 938 | |a YBP Library Services |b YANK |n 12976244 | ||
| 994 | |a 92 |b IZTAP | ||