By Haruzo Hida

This booklet features a distinctive account of the results of the author's contemporary Annals paper and JAMS paper on mathematics invariant, together with μ-invariant, L-invariant, and related topics.   This publication might be considered as an introductory textual content to the author's prior e-book p-Adic Automorphic varieties on Shimura Varieties.  Written as a down-to-earth creation to Shimura forms, this article comprises many examples and purposes of the speculation that offer motivation for the reader.  because it is restricted to modular curves and the corresponding Shimura types, this booklet isn't just an exceptional source for specialists within the box, however it is additionally obtainable to complex graduate scholars learning quantity theory.  Key issues contain non-triviality of mathematics invariants and distinctive values of L-functions; elliptic curves over advanced and p-adic fields; Hecke algebras; scheme idea; elliptic and modular curves over jewelry; and Shimura curves.

Show description

Read or Download Elliptic Curves and Arithmetic Invariants (Springer Monographs in Mathematics) PDF

Similar Algebraic Geometry books

Analytic K-Homology (Oxford Mathematical Monographs)

This paintings attracts jointly rules from algebraic topology, practical research and geometry. it's a device - a method of conveying details between those 3 matters - and it's been used with luck to find theorems throughout a large span of arithmetic. the aim of this publication is to acquaint the reader with the fundamental rules of analytic K-homology and strengthen a few of its functions.

The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Graduate Texts in Mathematics)

First textbook-level account of uncomplicated examples and strategies during this sector. compatible for self-study by means of a reader who understands a bit commutative algebra and algebraic geometry already. David Eisenbud is a widely known mathematician and present president of the yank Mathematical Society, in addition to a profitable Springer writer.

Hilbert

"It offers a delicate portrait of a very good individual. It describes thoroughly and intelligibly on a nontechnical point the realm of mathematical rules within which Hilbert created his masterpieces. And it illuminates the history of German social heritage opposed to which the drama of Hilberts existence used to be performed.

Introduction to Analysis of the Infinite: Book I

From the preface of the writer: ". .. i've got divided this paintings into books; within the first of those i've got restrained myself to these issues bearing on natural research. within the moment booklet i've got defined these factor which needs to be identified from geometry, considering research is quite often built in this kind of manner that its program to geometry is proven.

Additional resources for Elliptic Curves and Arithmetic Invariants (Springer Monographs in Mathematics)

Show sample text content

Rated 4.85 of 5 – based on 41 votes