10 citations · 23 across the 9 of their papers we have counts for
6 papers · 1 filter
Topics in global real analytic geometry
F. Acquistapace, F. Broglia, J. F. Fernando
In the first half of twentieth century the theory of complex analytic functions and of their zerosets was fully developed. The definition of holomorphic function has a local nature…
Normalization of complex analytic spaces from a global viewpoint
Francesca Acquistapace, Fabrizio Broglia, José F. Fernando
In this work we study some algebraic and topological properties of the ring of global analytic functions of the normalization of a re…
On globally defined semianalytic sets
Francesca Acquistapace, Fabrizio Broglia, José F. Fernando
In this work we present the concept of -semianalytic subset of a real analytic manifold and more generally of a real analytic space. -semianalytic sets can be understood as t…
A global Nullstellensatz for ideals of Denjoy-Carleman functions
Francesca Acquistapace, Fabrizio Broglia, Andreea Nicoara
We prove a Nullstellensatz result for global ideals of Denjoy-Carleman functions in both finitely generated and infinitely generated cases.
A Nullstellensatz for Łojasiewicz ideals
Francesca Acquistapace, Fabrizio Broglia, Andreea Nicoara
For an ideal of smooth functions that is either Łojasiewicz or weakly Łojasiewicz, we give a complete characterization of the ideal of functions vanishing on its variety in terms o…
On the Nullstellensätze for Stein spaces and -analytic sets
Francesca Acquistapace, Fabrizio Broglia, Jose F. Fernando
In this work we prove the real Nullstellensatz for the ring of analytic functions on a -analytic set in terms of the saturation of Łoja…