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The essential and Cremona dimensions of a group

Year: 2026

Type: article

Abstract: The Cremona dimension of a group G is the minimal n such that G is isomorphic to a subgroup of the Cremona group of birational transformations of an n -dimensional rational variety. In this survey article, we give many examples that give evidence to the conjecture that the Cremona dimension of a finite group over the field of complex numbers is less than or equal to the essential dimension of the group.

Source: EMS Surveys in Mathematical Sciences

DOI: 10.4171/emss/127

Author: Igor Dolgachev

Institution: University of Michigan

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4417486104

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