Work

Noether's problem and rationality problem for multiplicative invariant fields: a survey

Year: 2020

Type: preprint

Abstract: In this paper, we give a brief survey of recent developments on Noether's problem and rationality problem for multiplicative invariant fields including author's recent papers Hoshi [Hos15] about Noether's problem over Q, Hoshi, Kang and Kunyavskii [HKK13], Chu, Hoshi, Hu and Kang [CHHK15], Hoshi [Hos16] and Hoshi, Kang and Yamasaki [HKY16] about Noether's problem over C, and Hoshi, Kang and Kitayama [HKK14] and Hoshi, Kang and Yamasaki [HKY] about rationality problem for multiplicative invariant fields.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2010.01517

Author: Hoshi, Akinari

Institution: Niigata University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

Award: Rationality problem for fields of invariants

OpenAlex ID: W3090246511

Cites: 54

Cited by: 1

Related to: 10