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Essential dimension of cubics

Essential dimension of cubics
Essential dimension of cubics
In this paper, we compute the essential dimension of the functor of cubics in three variables up to linear changes of coordinates when the base field has characteristic different from 2 and 3. For this, we use canonical pencils of cubics, Galois descent techniques, and the basic material on essential dimension developed in [G. Berhuy, G. Favi, Doc. Math. 8 (2003) 279–330] which is based on Merkurjev's notes [Essential dimension, 1999].
0021-8693
199-216
Berhuy, Grégory
3d8146f6-19cf-411b-92a2-cd0c2129ec73
Favi, Giordano
5edc29ae-a4e0-452f-aa02-c998472d8749
Berhuy, Grégory
3d8146f6-19cf-411b-92a2-cd0c2129ec73
Favi, Giordano
5edc29ae-a4e0-452f-aa02-c998472d8749

Berhuy, Grégory and Favi, Giordano (2004) Essential dimension of cubics. Journal of Algebra, 278 (1), 199-216. (doi:10.1016/j.jalgebra.2003.12.017).

Record type: Article

Abstract

In this paper, we compute the essential dimension of the functor of cubics in three variables up to linear changes of coordinates when the base field has characteristic different from 2 and 3. For this, we use canonical pencils of cubics, Galois descent techniques, and the basic material on essential dimension developed in [G. Berhuy, G. Favi, Doc. Math. 8 (2003) 279–330] which is based on Merkurjev's notes [Essential dimension, 1999].

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Published date: 1 August 2004

Identifiers

Local EPrints ID: 38408
URI: http://eprints.soton.ac.uk/id/eprint/38408
DOI: doi:10.1016/j.jalgebra.2003.12.017
ISSN: 0021-8693
PURE UUID: 02e281db-0fd4-486d-88c5-64a11a5b2a81

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Date deposited: 08 Jun 2006
Last modified: 15 Mar 2024 08:07

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Contributors

Author: Grégory Berhuy
Author: Giordano Favi

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