Period and index in the Brauer group of an arithmetic surface

2011 ◽  
Vol 2011 (659) ◽  
pp. 1-41 ◽  
Author(s):  
Max Lieblich
Keyword(s):  
Brauer Group ◽  
Arithmetic Surface

scholarly journals On the Brauer group of diagonal quartic surfaces

2011 ◽  
Vol 83 (3) ◽  
pp. 659-672 ◽  
Author(s):  
Evis Ieronymou ◽  
Alexei N. Skorobogatov ◽  
Yuri G. Zarhin
Keyword(s):  
Brauer Group ◽  
Quartic Surfaces

scholarly journals Constructing elliptic curves from Galois representations

2018 ◽  
Vol 154 (10) ◽  
pp. 2045-2054
Author(s):  
Andrew Snowden ◽  
Jacob Tsimerman
Keyword(s):  
Elliptic Curve ◽  
Elliptic Curves ◽  
Galois Representations ◽  
Good Reduction ◽  
Arithmetic Surface

Given a non-isotrivial elliptic curve over an arithmetic surface, one obtains a lisse $\ell$-adic sheaf of rank two over the surface. This lisse sheaf has a number of straightforward properties: cyclotomic determinant, finite ramification, rational traces of Frobenius elements, and somewhere not potentially good reduction. We prove that any lisse sheaf of rank two possessing these properties comes from an elliptic curve.

scholarly journals The equivariant Brauer group of a group

2005 ◽  
Vol 134 (4) ◽  
pp. 959-972 ◽  
Author(s):  
S. Caenepeel ◽  
F. Van Oystaeyen ◽  
Y. H. Zhang
Keyword(s):  
Brauer Group

scholarly journals The Brauer group of a locally compact groupoid

1998 ◽  
Vol 120 (5) ◽  
pp. 901-954 ◽  
Author(s):  
Dana P. Williams ◽  
Jean N. Renault ◽  
Paul S. Muhly ◽  
Alexander Kumjian
Keyword(s):  
Brauer Group ◽  
Locally Compact
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