Technique de descente et théorèmes d'existence en géométrie algébriques. II. Le théorème d'existence en théorie formelle des modules
The Artin algebras associated with differential operators on singular affine curves.
The finite free extension of artinian -algebras with the strong Lefschetz property
The moduli space of commutative algebras of finite rank
The moduli space of rank- commutative algebras equipped with an ordered basis is an affine scheme of finite type over , with geometrically connected fibers. It is smooth if and only if . It is reducible if (and the converse holds, at least if we remove the fibers above and ). The relative dimension of is . The subscheme parameterizing étale algebras is isomorphic to , which is of dimension only . For , there exist algebras that are not limits of étale algebras. The dimension calculations...
The order of algebras with nontrivial fixed point subalgebras.
The Picard group of a scheme over an Artin ring
The structure of an almost artinian module.