Nov 14, 2024
Transcendental Brauer—Manin obstructions on singular K3 surfaces
Algebraic Geometry and Number Theory Seminar
Date: November 14, 2024 |
1:00 pm –
3:00 pm
Speaker:
Rachel Newton, King`s College London
Location: Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101)
Language:
English
Let E and E′ be elliptic curves over Q with complex multiplication by the ring of integers of an imaginary quadratic field K and let Y = Kum(E×E′) be the minimal desingularisation of the quotient of E×E′ by the action of −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. This is joint work with Mohamed Alaa Tawfik.
