On Finite Groups with Essential Dimension 2 Over ℚ

We determine all finite subgroups of Aut(X) which have essential dimension 2 over ℚ, where X is a minimal Del Pezzo surface of degree at least 5. Additionally, finite groups with essential dimension 2 whose order is divisible only by the prime numbers 2 and 3 are classified with the exception of the groups dic 12 , C12, and Dih24, whose essential dimensions remain unknown, but may possibly be equal to 2.

Publication Details

Journal
Scholar Commons (University of South Carolina)
Published
2025-04-30
Primary Topic
Fetal and Pediatric Neurological Disorders
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article
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article

On Finite Groups with Essential Dimension 2 Over ℚ

Scholar Commons (University of South Carolina)
Fetal and Pediatric Neurological Disorders
article

On Finite Groups with Essential Dimension 2 Over ℚ

article en

Abstract

We determine all finite subgroups of Aut(X) which have essential dimension 2 over ℚ, where X is a minimal Del Pezzo surface of degree at least 5. Additionally, finite groups with essential dimension 2 whose order is divisible only by the prime numbers 2 and 3 are classified with the exception of the groups dic 12 , C12, and Dih24, whose essential dimensions remain unknown, but may possibly be equal to 2.

Scholar Commons (University of South Carolina)
Reduced inequalities
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Fetal and Pediatric Neurological Disorders
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On Finite Groups with Essential Dimension 2 Over ℚ · Scholar Commons (University of South Carolina) (2025) | TGRS Research Map | TGRS