Abstract
We show that for every integer 1≤d≤4 and every finite set S of places, there exists a degree-d del Pezzo surface X over Q such that Br(X)/Br(Q)≅Z/2Z and the nontrivial Brauer class has a nonconstant local evaluation exactly at the places in S. For d=4, we prove that in all cases except S={∞}, this surface may be chosen diagonalisably over Q.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
