On the notion of canonical dimension for algebraic groups

Details On the notion of canonical dimension for algebraic groups On the notion of canonical dimension for algebraic groups

2004-04-21

arxiv.org/abs/math/0404391v2

Advances in Mathematics, 198 (2005), 128--171.

Mathematics

Algebraic Geometry

Significantly strenghtened, compared to the earlier version. To appear in Advances in Mathematics, 41 pages

Scientific paper

We define and study a new numerical invariant of an algebraic group action
which we call the canonical dimension. We then apply the resulting theory to
the problem of computing the minimal number of parameters required to define a
generic hypersurface of degree d in P^{n-1}.

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