Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Acquistapace, Francesca"'
In this work we study some algebraic and topological properties of the ring ${\mathcal O}(X^\nu)$ of global analytic functions of the normalization $(X^\nu,{\mathcal O}_{X^\nu})$ of a reduced complex analytic space $(X,{\mathcal O}_X)$. If $(X,{\math
Externí odkaz:
http://arxiv.org/abs/1710.03497
In this work we present the concept of $C$-semianalytic subset of a real analytic manifold and more generally of a real analytic space. $C$-semianalytic sets can be understood as the natural generalization to the semianalytic setting of global analyt
Externí odkaz:
http://arxiv.org/abs/1503.00987
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:
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
In this work we prove the real Nullstellensatz for the ring ${\mathcal O}(X)$ of analytic functions on a $C$-analytic set $X\subset{\mathbb R}^n$ in terms of the saturation of \L ojasiewicz's radical in ${\mathcal O}(X)$: The ideal ${\mathcal I}({\ma
Externí odkaz:
http://arxiv.org/abs/1207.0391
Publikováno v:
Transactions of the American Mathematical Society, 2016 Jun 01. 368(6), 3899-3929.
Externí odkaz:
https://www.jstor.org/stable/tranamermathsoci.368.6.3899
Publikováno v:
Proceedings of the American Mathematical Society, 2016 May 01. 144(5), 2067-2071.
Externí odkaz:
https://www.jstor.org/stable/procamermathsoci.144.5.2067
Autor:
Acquistapace, Francesca, Broglia, Fabrizio, Bronshtein, Michail, Nicoara, Andreea, Zobin, Nahum
Publikováno v:
In Advances in Mathematics 20 June 2014 258:397-413