Class Groups of Localities of Rings of Invariants of Reductive Algebraic Groups.
Cohen-Macaulayness of modules of covariants.
Cohomologie des groupes et corps d'invariants multiplicatifs.
Comportement asymptotique des dimensions des covariants
Constructive geometric invariant theory for certain nonreductive groups
Constructive invariant theory for tori
Consider a rational representation of an algebraic torus on a vector space . Suppose that is a homogeneous minimal generating set for the ring of invariants, . New upper bounds are derived for the number . These bounds are expressed in terms of the volume of the convex hull of the weights of and other geometric data. Also an algorithm is described for constructing an (essentially unique) partial set of generators consisting of monomials and such that is integral over .
Correction to "Corrections to the paper «A remark on the orbit spaces under multiplicative group actions»" (Colloquium Mathematicum 57.2 (1989), pp. 361--362)
Corrections to the paper "A remark on the orbit spaces under multiplicative group actions''
Cyclic coverings of abelian varities and the Goryachev-Chaplygin top.