14. Nov 2024
Transcendental Brauer—Manin obstructions on singular K3 surfaces
Algebraic Geometry and Number Theory Seminar
Datum: 14. November 2024 |
13:00 –
15:00
Sprecher:
Rachel Newton, King`s College London
Veranstaltungsort: Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101)
Sprache:
Englisch
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.