Groupe de Brauer non ramifié des espaces homogènes à stabilisateur fini (Unramified Brauer group of homogeneous spaces with finite stabilizer)

Abstract

We develop different formulas of algebraic and/or arithmetic nature allowing an explicit calculation, both over a finite field and over a field of characteristic 0, of the algebraic part of the unramified Brauer group of a homogeneous space G\G' under a semisiple simply connected linear group G' with finite stabilizer G. We also give examples of the calculations that can be done with these formulas.

Final version

References in corpus (1)

• The rationality problem for fields of invariants under linear algebraic groups (with special regards to the Brauer group)

Cited by in corpus (3)

• The Massey vanishing conjecture for number fields
• Groupe de Brauer non ramifié algébrique des espaces homogènes (The unramified algebraic Brauer group of homogeneous spaces)
• Ramified descent