Arithmetic geometry : Conference on Arithmetic Geometry with an Emphasis on Iwasawa Theory, March 15-18, 1993, Arizona State University
著者
書誌事項
Arithmetic geometry : Conference on Arithmetic Geometry with an Emphasis on Iwasawa Theory, March 15-18, 1993, Arizona State University
(Contemporary mathematics, v. 174)
American Mathematical Society, c1994
大学図書館所蔵 全68件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographical references
内容説明・目次
内容説明
This book resulted from a research conference in arithmetic geometry held at Arizona State University in March 1993. The papers describe important recent advances in arithmetic geometry. Several articles deal with $p$-adic modular forms of half-integral weight and their roles in arithmetic geometry. The volume also contains material on the Iwasawa theory of cyclotomic fields, elliptic curves, and function fields, including $p$-adic $L$-functions and $p$-adic height pairings. Other articles focus on the inverse Galois problem, fields of definition of abelian varieties with real multiplication, and computation of torsion groups of elliptic curves. The volume also contains a previously unpublished letter of John Tate, written to J. P. Serre in 1973, concerning Serre's conjecture on Galois representations. With contributions by some of the leading experts in the field, this book provides a look at the state of the art in arithmetic geometry.
目次
Real Hilbertianity and the field of totally real numbers by M. D. Fried, D. Haran, and H. Volklein Galois groups with prescribed ramification by D. Harbater Note on the zeros of $p$-adic $L$-functions by T. Metsankyla La fonction $L p$-adique de Kubota-Leopoldt by B. Perrin-Riou Supersingular $p$-adic height pairings on elliptic curves by A. Plater Fields of definition of Abelian varieties with real multiplication by K. A. Ribet $p$-adic interpolation of half-integral weight modular forms by A. Sofer $\Lambda$-adic modular forms of half-integral weight and a $\Lambda$-adic Shintani lifting by G. Stevens The non-existence of certain Galois extensions of $\mathbb Q$ unramified outside $2$ by J. Tate Iwasawa theory and cyclotomic function fields by D. S. Thakur Slopes of modular forms by D. L. Ulmer On the Taylor coefficients of theta functions of $CM$ elliptic curves by F. R. Villegas Torsion groups of elliptic curves over cubic and certain biquadratic number fields by H. G. Zimmer.
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