Witt Equivalence of Global Fields. II: Relative Quadratic Extensions

1994 ◽  
Vol 343 (1) ◽  
pp. 277
Author(s):  
Kazimierz Szymiczek
Keyword(s):  
Global Fields ◽  
Quadratic Extensions ◽  
Witt Equivalence ◽  
Relative Quadratic Extensions

scholarly journals On integral bases in relative quadratic extensions

1996 ◽  
Vol 65 (213) ◽  
pp. 319-330 ◽  
Author(s):  
M. Daberkow ◽  
M. Pohst
Keyword(s):  
Integral Bases ◽  
Quadratic Extensions ◽  
Relative Quadratic Extensions

scholarly journals Witt kernels of bi-quadratic extensions in characteristic 2

2004 ◽  
Vol 69 (3) ◽  
pp. 433-440 ◽  
Author(s):  
Hamza Ahmad
Keyword(s):  
Quadratic Extension ◽  
Quadratic Extensions ◽  
Witt Equivalence ◽  
Characteristic 2

Let κ be a field of characteristic 2. The author's previous results (Arch. Math. (1994)) are used to prove the excellence of quadratic extensions of κ. This in turn is used to determine the Witt kernel of a quadratic extension up to Witt equivalence. An example is given to show that Witt equivalence cannot be strengthened to isometry.

scholarly journals Local-global principle for Witt equivalence of function fields over global fields

2002 ◽  
Vol 91 (2) ◽  
pp. 293-302 ◽  
Author(s):  
Przemyslaw Koprowski
Keyword(s):  
Function Fields ◽  
Global Fields ◽  
Witt Equivalence ◽  
Global Principle

scholarly journals Witt equivalence of function fields over global fields

2017 ◽  
Vol 369 (11) ◽  
pp. 7861-7881 ◽  
Author(s):  
Paweł Gładki ◽  
Murray Marshall
Keyword(s):  
Function Fields ◽  
Global Fields ◽  
Witt Equivalence

scholarly journals L-values and the Fitting ideal of the tame kernel for relative quadratic extensions

2008 ◽  
Vol 131 (4) ◽  
pp. 389-402 ◽  
Author(s):  
Jonathan W. Sands
Keyword(s):  
Quadratic Extensions ◽  
Fitting Ideal ◽  
Tame Kernel ◽  
Relative Quadratic Extensions

Class groups under relative quadratic extensions

2011 ◽  
Vol 150 (4) ◽  
pp. 399-414
Author(s):  
Qin Yue
Keyword(s):  
Class Groups ◽  
Quadratic Extensions ◽  
Relative Quadratic Extensions

A Sequence of Results on Class Number Congruences

1993 ◽  
Vol 36 (2) ◽  
pp. 139-143
Author(s):  
Antone Costa
Keyword(s):  
Class Number ◽  
Positive Density ◽  
Quadratic Extensions ◽  
Totally Real ◽  
Relative Quadratic Extensions

AbstractLet p ≡ 1 mod 8 be a rational prime and let h(—p) be the class number of . In [1], Barrucand and Cohn show that h(-p) = 0 mod 8 iff p = x2 + 32y2 for some x,y € Z. In this article, we generalize their result to a family of relative quadratic extensions K/F, where Fk is the maximum totally real subfield of Q(ζ2k+2 ), and a power of a prime of Fk from a family of positive density.

Witt equivalence of semilocal Dedekind domains in global fields

2007 ◽  
Vol 77 (1) ◽  
pp. 1-24 ◽  
Author(s):  
B. Rothkegel ◽  
A. Czogała
Keyword(s):  
Global Fields ◽  
Dedekind Domains ◽  
Witt Equivalence
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