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].
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
