gregory.berhuy@epfl.ch, giordano.favi@ima.unil.ch

Submission: 2003, Mar 14

In this paper, we compute the essential dimension of cubics in three variables, when the base field has characteristic different from $2$ and $3$ and contains a primitive third root of unity. For this, we use canonical pencils of cubics, Galois descent techniques, and basic material on essential dimension of functors.

2000 Mathematics Subject Classification:

Keywords and Phrases:

Full text: dvi.gz 38 k, dvi 90 k, ps.gz 254 k, pdf.gz 180 k, pdf 206 k.