On the notion of canonical dimension for algebraic groups

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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Bibliographic Details
Published in:arXiv.org 2005-05
Main Authors: Berhuy, G, Reichstein, Z
Format: Article
Language:English
Subjects:
Algebra
Group theory
Hyperspaces
Online Access:Get full text
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Summary: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}.
ISSN:2331-8422