The Genus Field Of Algebraic Number Fields
Download and Read The Genus Field Of Algebraic Number Fields full books in PDF, ePUB, and Kindle. Read online free The Genus Field Of Algebraic Number Fields ebook anywhere anytime directly on your device. We cannot guarantee that every ebooks is available!
Author | : M. Ishida |
Publisher | : Springer |
Total Pages | : 123 |
Release | : 2006-12-08 |
Genre | : Mathematics |
ISBN | : 3540375538 |
Download The Genus Fields of Algebraic Number Fields Book in PDF, Epub and Kindle
a
Author | : Makoto Ishida |
Publisher | : Springer |
Total Pages | : 115 |
Release | : 1976-01-01 |
Genre | : Algebraic fields |
ISBN | : 9780387080000 |
Download The Genus Fields of Algebraic Number Fields Book in PDF, Epub and Kindle
Author | : Makoto Ishida |
Publisher | : |
Total Pages | : |
Release | : 1976 |
Genre | : |
ISBN | : |
Download The genus field of algebraic number fields Book in PDF, Epub and Kindle
Author | : Albrecht Fröhlich |
Publisher | : |
Total Pages | : 724 |
Release | : 1977 |
Genre | : Mathematics |
ISBN | : |
Download Algebraic Number Fields Book in PDF, Epub and Kindle
Author | : David Hilbert |
Publisher | : Springer Science & Business Media |
Total Pages | : 402 |
Release | : 1998-08-20 |
Genre | : Mathematics |
ISBN | : 9783540627791 |
Download The Theory of Algebraic Number Fields Book in PDF, Epub and Kindle
A translation of Hilberts "Theorie der algebraischen Zahlkörper" best known as the "Zahlbericht", first published in 1897, in which he provides an elegantly integrated overview of the development of algebraic number theory up to the end of the nineteenth century. The Zahlbericht also provided a firm foundation for further research in the theory, and can be seen as the starting point for all twentieth century investigations into the subject, as well as reciprocity laws and class field theory. This English edition further contains an introduction by F. Lemmermeyer and N. Schappacher.
Author | : |
Publisher | : Academic Press |
Total Pages | : 233 |
Release | : 1973-08-15 |
Genre | : Mathematics |
ISBN | : 0080873707 |
Download Algebraic Number Fields Book in PDF, Epub and Kindle
Algebraic Number Fields
Author | : P E Conner |
Publisher | : World Scientific |
Total Pages | : 328 |
Release | : 1984-07-01 |
Genre | : Mathematics |
ISBN | : 9814513520 |
Download A Survey Of Trace Forms Of Algebraic Number Fields Book in PDF, Epub and Kindle
Every finite separable field extension F/K carries a canonical inner product, given by trace(xy). This symmetric K-bilinear form is the trace form of F/K.When F is an algebraic number field and K is the field Q of rational numbers, the trace form goes back at least 100 years to Hermite and Sylvester. These notes present the first systematic treatment of the trace form as an object in its own right. Chapter I discusses the trace form of F/Q up to Witt equivalence in the Witt ring W(Q). Special attention is paid to the Witt classes arising from normal extensions F/Q. Chapter II contains a detailed analysis of trace forms over p-adic fields. These local results are applied in Chapter III to prove that a Witt class X in W(Q) is represented by the trace form of an extension F/Q if and only if X has non-negative signature. Chapter IV discusses integral trace forms, obtained by restricting the trace form of F/Q to the ring of algebraic integers in F. When F/Q is normal, the Galois group acts as a group of isometries of the integral trace form. It is proved that when F/Q is normal of prime degree, the integral form is determined up to equivariant integral equivalence by the discriminant of F alone. Chapter V discusses the equivariant Witt theory of trace forms of normal extensions F/Q and Chapter VI relates the trace form of F/Q to questions of ramification in F. These notes were written in an effort to identify central problems. There are many open problems listed in the text. An introduction to Witt theory is included and illustrative examples are discussed throughout.
Author | : Harvey Cohn |
Publisher | : Springer Science & Business Media |
Total Pages | : 344 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461299500 |
Download A Classical Invitation to Algebraic Numbers and Class Fields Book in PDF, Epub and Kindle
"Artin's 1932 Göttingen Lectures on Class Field Theory" and "Connections between Algebrac Number Theory and Integral Matrices"
Author | : Emil Artin |
Publisher | : American Mathematical Soc. |
Total Pages | : 366 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 0821840754 |
Download Algebraic Numbers and Algebraic Functions Book in PDF, Epub and Kindle
Originated from the notes of a course given at Princeton University in 1950-1951, this text offers an introduction to algebraic numbers and algebraic functions. It starts with the general theory of valuation fields, proceeds to the local class field theory, and then to the theory of function fields in one variable.
Author | : Gabriel Daniel Villa Salvador |
Publisher | : Springer Science & Business Media |
Total Pages | : 658 |
Release | : 2007-10-10 |
Genre | : Mathematics |
ISBN | : 0817645152 |
Download Topics in the Theory of Algebraic Function Fields Book in PDF, Epub and Kindle
The fields of algebraic functions of one variable appear in several areas of mathematics: complex analysis, algebraic geometry, and number theory. This text adopts the latter perspective by applying an arithmetic-algebraic viewpoint to the study of function fields as part of the algebraic theory of numbers. The examination explains both the similarities and fundamental differences between function fields and number fields, including many exercises and examples to enhance understanding and motivate further study. The only prerequisites are a basic knowledge of field theory, complex analysis, and some commutative algebra.