Arithmetic geometry
Subtitle: Conference on Arithmetic Geometry with an Emphasis on Iwasawa Theory, March 15-18, 1993, Arizona State University
By: Nancy Childress, John W. Jones, editors.
Contributors: Childress, Nancy, 1958-; Jones, John W., 1961-
Series: Contemporary mathematics,; 174; Contemporary mathematics (American Mathematical Society) ;; v. 174.
Publisher: American Mathematical Society
Published: 1994
Place of publication: Providence, R.I
Language: eng
Number of pages: 220
Subjects: Algebraic number theory -- Congresses.; Geometry, Algebraic -- Congresses.; Iwasawa theory -- Congresses.
Genres: Congresses.
Description: 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 The volume also contains a previously unpublished letter of John Tate, written to J.-P. Serre in 1973, concerning Serre's conjecture on Galois representations.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.
Notes: Includes bibliographical references.