Search results for Iwasawa theory of totally real fields for certain non ... ï¬پelds by using theory on integral logarithms

Tsinghua University Beijing, China 100084 Email: [email protected] 2 Iwasawa modules 8 1 Modules up to pseudo-isomorphism Let A be a commutative noetherian integrally

1 Ideal class groups. The ideal class group of a number field F is defined as the quotient group ClF = FF/PF , where FF denotes the group of fractional ideals of F and PF

Journal of Number Theory 130 2010 1068–1097 Contents lists available at ScienceDirect Journal of Number Theory www.elsevier.comlocatejnt Iwasawa theory of totally real…

Introduction to Iwasawa Theory Yi Ouyang Department of Mathematical Sciences Tsinghua University Beijing, China 100084 Email: [email protected] Contents 1 Modules…

Iwasawa theory and generalizations Kazuya Kato Abstract. This is an introduction to Iwasawa theory and its generalizations. We discuss some main conjectures and related subjects.…

p – adic Hodge theory and Iwasawa theory 14–18 September 2015 Faculty of Mathematics Bielefeld University Lecture Room: H6 This workshop is part of the DFG-funded CRC…

Cyclotomic Fields Zp -Extensions Iwasawa Modules The Main Conjecture An Introduction to Iwasawa Theory Jordan Schettler University of California Santa Barbara 2012 Cyclotomic…

An Introduction to Iwasawa Theory Notes by Jim L. Brown 2 Contents 1 Introduction 5 2 Background Material 9 2.1 Algebraic Number Theory . . . . . . . . . . . . . . . . .…

Ralph Greenberg i Contents 1 Introduction 1 1.1 Congruence Relations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Selmer groups for elliptic curves.

katoKazuya Kato Abstract. This is an introduction to Iwasawa theory and its generalizations. We discuss some main conjectures and related subjects. Mathematics Subject Classification

a.dviStephen A. Mitchell* 3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Iwasawa Theory of Elliptic Curves with Complex Multiplication Anna Seigal 2nd May 2014 Contents 1 Introduction 2 11 Elliptic Curves with Complex Multiplication 2 12 Motivating…

Shin-ichi Kobayashi Graduate School of Mathematical Sciences, University of Tokyo, Komaba 3-8-1, Tokyo, 153-8914 Japan (e-mail: [email protected]) Oblatum 17-VI-2002

Master ThesisdvipsDaniele CASAZZA [email protected] Advised by Prof. Jean GILLIBERT ALGANT MASTER THESIS - JULY 2013 UNIVERSITÀ DEGLI STUDI DI MILANO AND UNIVERSITÉ

Iwasawa theory for Artin representations I Ralph Greenberg Vinayak Vatsal In honor of Professor Kenkichi Iwasawa Abstract. We introduce a natural way to define Selmer groups…

Genjim.dviIwasawa theory November 4, 2008 1 Introduction Global root numbers have played an important role in the study of rational points on abelian varieties since the

LECTURES ON THE IWASAWA THEORY OF ELLIPTIC CURVES CHRISTOPHER SKINNER Abstract. These are a preliminary set ot notes for the author’s lectures for the 2018 Arizona Winter…

Title A quantization of Iwasawa theory and cyclotomic extensions ofKummer fields Authors ICHIKAWA, Takashi Citation 数理解析研究所講究録 1992, 797: 174-184 Issue…

Iwasawa theory and the Eisenstein ideal Romyar T. Sharifi Abstract We verify, for each odd prime p < 1000, a conjecture of W. McCallum and the author’s on the surjectivity…

Documenta Math 187 Links Between Cyclotomic and GL2 Iwasawa Theory John Coates Peter Schneider Ramdorai Sujatha Received: September 26 2002 Revised: February 26 2003 Vying…