Automorphisms and Twisted Forms of Rings of Invariants: Automorphisms and Twisted Forms of Rings of Invariants: J. Kollár

János Kollár

doi:10.1007/s00032-024-00403-x

Automorphisms and Twisted Forms of Rings of Invariants: Automorphisms and Twisted Forms of Rings of Invariants: J. Kollár

János Kollár

Mathematics

Princeton University

Research output: Contribution to journal › Article › peer-review

Abstract

Let G⊂GLn(k) be a finite subgroup and k[x1,...,xn]G⊂k[x1,...,xn] its ring of invariants. We show that, in many cases, the automorphism group of k[x1,...,xn]G is k×.

Original language	American English
Pages (from-to)	473-499
Number of pages	27
Journal	Milan Journal of Mathematics
Volume	92
Issue number	2
DOIs	https://doi.org/10.1007/s00032-024-00403-x
State	Published - Dec 2024

ASJC Scopus subject areas

General Mathematics

Keywords

Automorphism
Birational rigidity
Ring of invariants
Twisted forms

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10.1007/s00032-024-00403-x

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title = "Automorphisms and Twisted Forms of Rings of Invariants: Automorphisms and Twisted Forms of Rings of Invariants: J. Koll{\'a}r",

abstract = "Let G⊂GLn(k) be a finite subgroup and k[x1,...,xn]G⊂k[x1,...,xn] its ring of invariants. We show that, in many cases, the automorphism group of k[x1,...,xn]G is k×.",

keywords = "Automorphism, Birational rigidity, Ring of invariants, Twisted forms",

author = "J{\'a}nos Koll{\'a}r",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Seminario Matematico e Fisico di Milano 2024.",

year = "2024",

month = dec,

doi = "10.1007/s00032-024-00403-x",

language = "American English",

volume = "92",

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journal = "Milan Journal of Mathematics",

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T2 - Automorphisms and Twisted Forms of Rings of Invariants: J. Kollár

AU - Kollár, János

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Seminario Matematico e Fisico di Milano 2024.

PY - 2024/12

Y1 - 2024/12

N2 - Let G⊂GLn(k) be a finite subgroup and k[x1,...,xn]G⊂k[x1,...,xn] its ring of invariants. We show that, in many cases, the automorphism group of k[x1,...,xn]G is k×.

AB - Let G⊂GLn(k) be a finite subgroup and k[x1,...,xn]G⊂k[x1,...,xn] its ring of invariants. We show that, in many cases, the automorphism group of k[x1,...,xn]G is k×.

KW - Automorphism

KW - Birational rigidity

KW - Ring of invariants

KW - Twisted forms

UR - https://www.scopus.com/pages/publications/85199976514

UR - https://www.scopus.com/pages/publications/85199976514#tab=citedBy

U2 - 10.1007/s00032-024-00403-x

DO - 10.1007/s00032-024-00403-x

M3 - Article

SN - 1424-9286

VL - 92

SP - 473

EP - 499

JO - Milan Journal of Mathematics

JF - Milan Journal of Mathematics

IS - 2

ER -

Automorphisms and Twisted Forms of Rings of Invariants: Automorphisms and Twisted Forms of Rings of Invariants: J. Kollár

Abstract

ASJC Scopus subject areas

Keywords

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