Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Nicoara, Andreea"'
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
Publikováno v:
Proc. Amer. Math. Soc. 144 (2016), no. 5, 2067-2071
We prove a Nullstellensatz result for global ideals of Denjoy-Carleman functions in both finitely generated and infinitely generated cases.
Comment: 5 pages
Comment: 5 pages
Externí odkaz:
http://arxiv.org/abs/1412.4461
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:
Acquistapace, Francesca, Broglia, Fabrizio, Bronshtein, Michail, Nicoara, Andreea, Zobin, Nahum
Publikováno v:
Advances in Mathematics 258C (2014), pp. 397-413
It is shown that Denjoy-Carleman quasi-analytic rings of germs of functions in two or more variables fail to satisfy the Weierstrass Preparation Theorem. The result is proven via a non-extension theorem.
Comment: 17 pages; accepted at the Advanc
Comment: 17 pages; accepted at the Advanc
Externí odkaz:
http://arxiv.org/abs/1212.4265
Publikováno v:
Rev. Mat. Iberoam. 30 (2014), no. 4, 1479-1487
For an ideal of smooth functions that is either {\L}ojasiewicz or weakly {\L}ojasiewicz, we give a complete characterization of the ideal of functions vanishing on its variety in terms of the global {\L}ojasiewicz radical and Whitney closure. We also
Externí odkaz:
http://arxiv.org/abs/1210.2504
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