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The symbolic method
The first fundamental theorem
Reductive algebraic groups
Hilbert's fourteenth problem
Algebra of covariants
Quotients
Linearization of actions
Stability
Numerical criterion of stability
Projective hypersurfaces
Configurations of linear subspaces
Toric varieties.
The first fundamental theorem
Reductive algebraic groups
Hilbert's fourteenth problem
Algebra of covariants
Quotients
Linearization of actions
Stability
Numerical criterion of stability
Projective hypersurfaces
Configurations of linear subspaces
Toric varieties.