Rationality problem for quasi-monomial actions

Abstract

We give a short survey of the rationality problem for quasi-monomial actions which includes Noether's problem and the rationality problem for algebraic tori, and report some results on rationality problem in three recent papers Hoshi, Kang and Kitayama [HKKi], Hoshi, Kang and Kunyavskii [HKKu] and Hoshi and Yamasaki [HY].

Survey article. RIMS Kokyuroku Bessatsu B51 (2014), 203-227. arXiv admin note: text overlap with arXiv:1210.4525

References in corpus (3)

• Noether's problem and unramified Brauer groups
• Unramified Brauer groups and isoclinism
• Noether's problems for groups of order 243