algebraic cone; monoid action; group action; orbit; action with unique fixed point; algebra automorphism; stable ideal; irreducible algebraic variety essential dimension; essential \(p\)-dimension; functor; canonical \(p\)-dimension of a variety; algebraic group (\(G\)); \(G\)-scheme; \(G\)-torsor; strongly \(p\)-incompressible variety; category fibered in groupoids; group of multiplicative type; central simple algebra; étale algebra; quadratic and hermitian forms 