scholarly journals Cohomology and graded Witt group kernels for extensions of degree four in characteristic two

2016 ◽  
Vol 461 ◽  
pp. 314-350 ◽  
Author(s):  
Roberto Aravire ◽  
Bill Jacob
Keyword(s):  
Witt Group ◽  
Characteristic Two

scholarly journals The graded Witt group kernel of biquadratic extensions in characteristic two

2012 ◽  
Vol 370 ◽  
pp. 297-319 ◽  
Author(s):  
Roberto Aravire ◽  
Bill Jacob
Keyword(s):  
Witt Group ◽  
Characteristic Two

scholarly journals On class number relations in characteristic two

2007 ◽  
Vol 259 (1) ◽  
pp. 197-216 ◽  
Author(s):  
Yen-Mei J. Chen ◽  
Jing Yu
Keyword(s):  
Class Number ◽  
Characteristic Two

scholarly journals Geometric Weil representation in characteristic two

2011 ◽  
Vol 11 (2) ◽  
pp. 221-271 ◽  
Author(s):  
Alain Genestier ◽  
Sergey Lysenko
Keyword(s):  
Weil Representation ◽  
Closed Field ◽  
Triangulated Category ◽  
Algebraically Closed Field ◽  
Witt Vectors ◽  
Suitable Sense ◽  
Characteristic Two ◽  
Greenberg Realization ◽  
Geometric Analogue

AbstractLet k be an algebraically closed field of characteristic two. Let R be the ring of Witt vectors of length two over k. We construct a group stack Ĝ over k, the metaplectic extension of the Greenberg realization of $\operatorname{\mathbb{S}p}_{2n}(R)$. We also construct a geometric analogue of the Weil representation of Ĝ, this is a triangulated category on which Ĝ acts by functors. This triangulated category and the action are geometric in a suitable sense.

Isotropy of orthogonal involutions in characteristic two

2018 ◽  
Vol 17 (12) ◽  
pp. 1850240 ◽  
Author(s):  
A.-H. Nokhodkar
Keyword(s):  
Quadratic Form ◽  
Central Simple Algebra ◽  
Simple Algebra ◽  
Characteristic Two ◽  
Central Simple ◽  
The Given

A totally singular quadratic form is associated to any central simple algebra with orthogonal involution in characteristic two. It is shown that the given involution is isotropic if and only if its corresponding quadratic form is isotropic.

Witt group

2017 ◽  
pp. 163-174
Author(s):  
Kazimierz Szymiczek
Keyword(s):  
Witt Group

scholarly journals Solving quadratic equations over polynomial rings of characteristic two

1998 ◽  
Vol 42 ◽  
pp. 131-142 ◽  
Author(s):  
J. Cherly ◽  
L. Gallardo ◽  
L. Vaserstein ◽  
E. Wheland
Keyword(s):  
Polynomial Rings ◽  
Quadratic Equations ◽  
Characteristic Two
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