Non-hyperbolic splitting of quadratic pairs
2015 ◽
Vol 14
(10)
◽
pp. 1550138
◽
Keyword(s):
We show that a non-hyperbolic quadratic pair on a central simple algebra Brauer equivalent to a quaternion algebra stays non-hyperbolic over some splitting field of the quaternion algebra. This extends a result previously only known for fields of characteristic different from two. Our presentation is free from restrictions on the characteristic of the base field.
2018 ◽
Vol 2018
(745)
◽
pp. 41-58
2018 ◽
Vol 17
(12)
◽
pp. 1850240
◽
Keyword(s):
1966 ◽
Vol 27
(2)
◽
pp. 625-642
◽
Keyword(s):
2017 ◽
Vol 154
(2)
◽
pp. 410-458
◽
Keyword(s):
2015 ◽
Vol 14
(04)
◽
pp. 1550048
◽
2018 ◽
Vol 222
(9)
◽
pp. 2773-2783
◽
1996 ◽
Vol 40
(4)
◽
pp. 353-363
◽
Keyword(s):