Analytic functions on an open subsets of P1 (k).
André-Homologie für gewisse Kategorien von Ringen mit Fasersumme.
Anneaux henséliens et approximations
Approximation of holomorphic maps by algebraic morphisms
Let X be a nonsingular complex algebraic curve and let Y be a nonsingular rational complex algebraic surface. Given a compact subset K of X, every holomorphic map from a neighborhood of K in X into Y can be approximated by rational maps from X into Y having no poles in K. If Y is a nonsingular projective complex surface with the first Betti number nonzero, then such an approximation is impossible.
Arithmetic infinite Grassmannians and the induced central extensions.
Arithmetic vector bundles and automorphic forms on Shimura varieties, II
Artin's Theorem on the Solutions of Analytic Equations in Positive Characteristic.
Artin-Schelter regular algebras of dimension five
We show that there are exactly three types of Hilbert series of Artin-Schelter regular algebras of dimension five with two generators. One of these cases (the most extreme) may not be realized by an enveloping algebra of a graded Lie algebra. This is a new phenomenon compared to lower dimensions, where all resolution types may be realized by such enveloping algebras.
Associate forms, joins, multiplicities and an intrinsic elimination theory
Automorphisms of categories of free algebras of varieties.