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

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math.AG2005★ 81 cited

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

Jean-Louis Colliot-Th'el`ene, Jean-Jacques Sansuc

This is a survey on the ancient question : Let G be a reductive group over an algebraically closed field k and let V be a vector space over k with an almost free linear action of G…