Year: 2024
Type: article
Abstract: Let E and $$E'$$ E ′ be elliptic curves over $${{\mathbb {Q}}}$$ Q with complex multiplication by the ring of integers of an imaginary quadratic field K and let $$Y={{\,\textrm{Kum}\,}}(E\times E')$$ Y = Kum ( E × E ′ ) be the minimal desingularisation of the quotient of $$E\times E'$$ E × E ′ by the action of $$-1$$ - 1 . We study the Brauer groups of such surfaces Y and use them to furnish new examples of transcendental Brauer–Manin obstructions to weak approximation.
Source: Research in Number Theory
Authors: Mohamed Alaa Tawfik, Rachel Newton
Institution: King's College London
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,490
OpenAlex ID: W4405527445