Zobrazeno 1 - 10
of 10
pro vyhledávání: '"André Belotto da Silva"'
Publikováno v:
Journal de l'École polytechnique — Mathématiques
Journal de l'École polytechnique — Mathématiques, École polytechnique, 2021, 8, pp.1329-1396. ⟨10.5802/jep.173⟩
Journal de l'École polytechnique — Mathématiques, École polytechnique, 2021, 8, pp.1329-1396. ⟨10.5802/jep.173⟩
This article contains a complete proof of Gabrielov's rank Theorem, a fundamental result in the study of analytic map germs. Inspired by the works of Gabrielov and Tougeron, we develop formal-geometric techniques which clarify the difficult parts of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::974bb84d6219e96aef7a40c651d5b0c4
https://doi.org/10.5802/jep.173
https://doi.org/10.5802/jep.173
Publikováno v:
Geometry and Topology
Geometry and Topology, In press
Geometry and Topology, In press
Given a complex analytic germ $(X, 0)$ in $(\mathbb C^n, 0)$, the standard Hermitian metric of $\mathbb C^n$ induces a natural arc-length metric on $(X, 0)$, called the inner metric. We study the inner metric structure of the germ of an isolated comp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a9c3ba140224a93b3635c07c555a6cb
https://hal.science/hal-02543399/file/BelottoFantiniPichonJuly2019.pdf
https://hal.science/hal-02543399/file/BelottoFantiniPichonJuly2019.pdf
Publikováno v:
Publicacions Matemàtiques; Vol. 63, Núm. 1 (2019); p. 105-123
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Publ. Mat. 63, no. 1 (2019), 105-123
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Publ. Mat. 63, no. 1 (2019), 105-123
We characterize the limit periodic sets of families of polynomial planar vector fields up to homeomorphisms. We show that any limit periodic set is topologically equivalent to a compact and connected semialgebraic set of the sphere with empty interio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e2dc135643c9c49325b229e77cbb7957
https://doi.org/10.5565/publmat6311903
https://doi.org/10.5565/publmat6311903
Publikováno v:
Compositio Mathematica. 154:1960-1973
We prove two main results on Denjoy-Carleman classes: (1) a composite function theorem which asserts that a function f(x) in a quasianalytic Denjoy-Carleman class Q, which is formally composite with a generically submersive mapping y=h(x) of class Q,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::47078158a93616e79cdfccdf549948cf
https://doi.org/10.1112/s0010437x18007339
https://doi.org/10.1112/s0010437x18007339
Publikováno v:
Selecta Mathematica. 23:2523-2552
The article develops techniques for solving equations $$G(x,y)=0$$ , where $$G(x,y)=G(x_1,\ldots ,x_n,y)$$ is a function in a given quasianalytic class (for example, a quasianalytic Denjoy–Carleman class, or the class of $${\mathcal C}^\infty $$ fu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ec00d844696f15c39680e4799d08d580
https://doi.org/10.1007/s00029-017-0345-3
https://doi.org/10.1007/s00029-017-0345-3
Publikováno v:
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales-Serie A. Matemáticas
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales-Serie A. Matemáticas, Springer, 2019, 113 (4), pp.3949-3965. ⟨10.1007/s13398-018-0596-7⟩
RACSAM. Real Academia de Ciencias. Serie A, Matemáticas-Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas
RACSAM. Real Academia de Ciencias. Serie A, Matemáticas-Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2019, 113 (4), pp.3949-3965. ⟨10.1007/s13398-018-0596-7⟩
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales-Serie A. Matemáticas, Springer, 2019, 113 (4), pp.3949-3965. ⟨10.1007/s13398-018-0596-7⟩
RACSAM. Real Academia de Ciencias. Serie A, Matemáticas-Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas
RACSAM. Real Academia de Ciencias. Serie A, Matemáticas-Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2019, 113 (4), pp.3949-3965. ⟨10.1007/s13398-018-0596-7⟩
We introduce a notion of generalized Flow-Box property valid for general singular distributions and sub-varieties (based on a dynamical interpretation). Just as in the usual Flow-Box Theorem, we characterize geometrical and algebraic conditions of (q
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f0917b3db5c3b18d95fe74702e0fc05
https://hal.archives-ouvertes.fr/hal-02907173/file/1711.09948.pdf
https://hal.archives-ouvertes.fr/hal-02907173/file/1711.09948.pdf
Publikováno v:
Duke Mathematical Journal
Duke Mathematical Journal, Duke University Press, 2018, 167 (8), pp.1433-1471
Duke Math. J. 167, no. 8 (2018), 1433-1471
Duke Mathematical Journal, 2018, 167 (8), pp.1433-1471
Duke Mathematical Journal, Duke University Press, 2018, 167 (8), pp.1433-1471
Duke Math. J. 167, no. 8 (2018), 1433-1471
Duke Mathematical Journal, 2018, 167 (8), pp.1433-1471
Given a totally nonholonomic distribution of rank two on a three-dimensional manifold we investigate the size of the set of points that can be reached by singular horizontal paths starting from a same point. In this setting, the Sard conjecture state
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1105bfd65ee1cb7b2b82cbdddb47e05e
https://hal.archives-ouvertes.fr/hal-01411456/document
https://hal.archives-ouvertes.fr/hal-01411456/document
Autor:
André Belotto da Silva
Publikováno v:
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 110:841-862
Let $M$ be a complex- or real-analytic manifold, $\theta$ be a singular distribution and $\mathcal{I}$ a coherent ideal sheaf defined on $M$. We prove the existence of a local resolution of singularities of $\mathcal{I}$ that preserves the class of s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0218d1db3b1211b1833524dfc62fe827
https://doi.org/10.1007/s13398-015-0264-0
https://doi.org/10.1007/s13398-015-0264-0
The main problem studied is resolution of singularities of the cotangent sheaf of a complex- or real-analytic variety Y (or of an algebraic variety Y over a field of characteristic zero). Given Y, we ask whether there is a global resolution of singul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0bc5d8817c391c86e3c4870a1eca3b6a
Autor:
André Belotto da Silva
Given a real- or complex-analytic singular foliation $\theta$ with $n$ first integrals of meromorphic or Darboux type $(f_1,\dots,f_n)$, we prove that there exists a local monomialization of the first integrals. In particular, if $\theta$ is generate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::14a6fa1d882a8014ff4ec6d3e6a0f742