GAGA for DQ-algebroids
Geometric and categorical nonabelian duality in complex geometry
The Leitmotiv of this work is to find suitable notions of dual varieties in a general sense. We develop the basic elements of a duality theory for varieties and complex spaces, by adopting a geometric and a categorical point of view. One main feature is to prove a biduality property for each notion which is achieved in most cases.
Geometric regularity versus analytic regularity higher codimensional case
Geometrische Bedingungen für die Integrabilität von Vektor-Feldern auf Teilmengen.
Geometry and cohomology of certain domains in the complex projective space.
Global problems on Nash functions.
This is a survey on the history of and the solutions to the basic global problems on Nash functions, which have been only recently solved, namely: separation, extension, global equations, Artin-Mazur description and idempotency, also noetherianness. We discuss all of them in the various possible contexts, from manifolds over the reals to real spectra of arbitrary commutative rings.
Globale Moduln.
Globale und lokale Erzeugendenanzahl im Reellen.
Gluing of differentiable spaces and applications.
Grassmann duality for -modules
Grauert's theorem for subanalytic open sets in real analytic manifolds
By an open neighbourhood in ℂⁿ of an open subset Ω of ℝⁿ we mean an open subset Ω' of ℂⁿ such that ℝⁿ ∩ Ω' = Ω. A well known result of H. Grauert implies that any open subset of ℝⁿ admits a fundamental system of Stein open neighbourhoods in ℂⁿ. Another way to state this property is to say that each open subset of ℝⁿ is Stein. We shall prove a similar result in the subanalytic category: every subanalytic open subset in a paracompact real analytic manifold M admits a fundamental system of subanalytic...
Gröbner δ-bases and Gröbner bases for differential operators
This paper deals with the notion of Gröbner δ-base for some rings of linear differential operators by adapting the works of W. Trinks, A. Assi, M. Insa and F. Pauer. We compare this notion with the one of Gröbner base for such rings. As an application we give some results on finiteness and on flatness of finitely generated left modules over these rings.
Growth at infinity of a polynomial with a compact zero set