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arxiv: math/0404391 · v2 · submitted 2004-04-21 · 🧮 math.AG · math.GR

On the notion of canonical dimension for algebraic groups

G. Berhuy , Z. Reichstein This is my paper
classification 🧮 math.AG math.GR
keywords algebraiccanonicaldefinedimensionactionapplycallcomputing
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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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