10 citations · 49 across the 14 of their papers we have counts for
4 papers · 1 filter
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.
Coherence and Other Properties of Sheaves in the Kohn Algorithm
Andreea C. Nicoara
In the smooth case, we prove quasi-flasqueness for the sheaves of all subelliptic multipliers as well as at each of the steps of the Kohn algorithm on a pseudoconvex domain in $\C^…
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…
Non-Noetherianity of Denjoy-Carleman rings of germs
Liat Kessler, Andreea C. Nicoara
It is shown that Denjoy-Carleman quasi analytic rings of germs of functions in two or more variables either complex or real valued that are stable under derivation and strictly lar…