Notices of the International Consortium of Chinese Mathematicians

Volume 6 (2018)

Number 2

Noether’s problem and descent

Pages: 25 – 31

DOI: https://dx.doi.org/10.4310/ICCM.2018.v6.n2.a4

Authors

Fedor Bogomolov (Courant Institute of Mathematical Sciences, New York University, New York, N,Y, U.S.A.; and National Research University Higher School of Economics, Russian Federation, AG Laboratory, Moscow, Russia)

Yuri Tschinkel (Courant Institute of Mathematical Sciences, New York University, New York, N,Y, U.S.A.; and Simons Foundation, New York, N.Y., U.S.A.)

Abstract

We study Noether’s problem from the perspective of torsors under linear algebraic groups and descent.

Keywords

rationality, fibrations

Full Text (PDF format)

We are thankful to B. Bloom-Smith for useful comments. This work was partially supported by Laboratory of Mirror Symmetry NRU HSE, RF grant 14.641.31.0001. The first author was funded by the Russian Academic Excellence Project ‘5-100’. The first author was also supported by a Simons Fellowship and by the EPSRC program grant EP/M024830. The second author was partially supported by the NSF grant 1601912.

Published 16 May 2019