Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Nicoara, Andreea C."'
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 November 2023 527(1) Part 1
Given a pseudoconvex hypersurface in C^n and an arbitrary weight, we show the existence of local coordinates in which the polynomial model contains a particularly simple sum of squares of monomials. Our second main result provides a normalization of
Externí odkaz:
http://arxiv.org/abs/1806.01359
Publikováno v:
J. Math. Anal. Appl.527(2023), no.1, Paper No. 127349, 13 pp
We clarify the relationship between the two most standard measurements of the order of contact of q-dimensional complex varieties with a real hypersurface, the Catlin and D'Angelo $q$-types, by showing that the former equals the generic value of the
Externí odkaz:
http://arxiv.org/abs/1707.08294
Autor:
Nicoara, Andreea C.
Publikováno v:
Pure Appl. Math. Q. 18 (2022), no. 2, 719-761
In 1979 J.J. Kohn gave an indirect argument via the Diederich-Forn\ae ss Theorem showing that finite D'Angelo type implies termination of the Kohn algorithm for a pseudoconvex domain with real-analytic boundary. We give here a direct argument for thi
Externí odkaz:
http://arxiv.org/abs/1409.0963
Autor:
Nicoara, Andreea C.
Publikováno v:
International Journal of Mathematics 25 (2014) no.8
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 $\C^n.$ We use techniques by Jean-Claude Tougeron to show that if the doma
Externí odkaz:
http://arxiv.org/abs/1308.5289
Publikováno v:
J. Geom. Anal. 25 (2015), no. 3, 1701-1719
We establish inequalities relating two measurements of the order of contact of q-dimensional complex varieties with a real hypersurface.
Comment: 18 pages; accepted at the Journal of Geometric Analysis; see arXiv:1102.0356 for the origin of this
Comment: 18 pages; accepted at the Journal of Geometric Analysis; see arXiv:1102.0356 for the origin of this
Externí odkaz:
http://arxiv.org/abs/1302.2294
Autor:
Kessler, Liat, Nicoara, Andreea C.
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 larger than the ring of real-analytic germs are not Noetherian rings. The
Externí odkaz:
http://arxiv.org/abs/1108.0036
Autor:
Nicoara, Andreea C.
Publikováno v:
Mathematische Annalen 354 (2012) no.4, 1223-1245
On a smooth domain in complex n space of finite D'Angelo q-type at a point, an effective upper bound for the vanishing order of the Levi determinant $\text{coeff}\{\partial r \wedge \dbar r \wedge (\partial \dbar r)^{n-q}\}$ at that point is given in
Externí odkaz:
http://arxiv.org/abs/1102.0356
Autor:
Nicoara, Andreea C.
The equivalence of the Kohn finite ideal type and the D'Angelo finite type with the subellipticity of the $\bar\partial$-Neumann problem is extended to pseudoconvex domains in $C^n$ whose defining function is in a Denjoy-Carleman quasianalytic class
Externí odkaz:
http://arxiv.org/abs/0806.1917
Autor:
Nicoara, Andreea C.
The D'Angelo finite type is shown to be equivalent to the Kohn finite ideal type on smooth, pseudoconvex domains in complex n space. This is known as the Kohn Conjecture. The argument uses Catlin's notion of a boundary system as well as methods from
Externí odkaz:
http://arxiv.org/abs/0711.0429