Zobrazeno 1 - 10
of 64
pro vyhledávání: '"da Silva, A. Belotto"'
Given a smooth totally nonholonomic distribution on a smooth manifold, we construct a singular distribution capturing essential abnormal lifts which is locally generated by vector fields with controlled divergence. Then, as an application, we prove t
Externí odkaz:
http://arxiv.org/abs/2310.20284
Based on a recently developed rank Theorem for Eisenstein power series, we provide new proofs of the following two results of W. Pawlucki: I) The non regular locus of a complex or real analytic map is an analytic set. II) The set of semianalytic or N
Externí odkaz:
http://arxiv.org/abs/2303.07699
We address the following question of partial desingularization preserving normal crossings. Given an algebraic (or analytic) variety X in characteristic zero, can we find a finite sequence of blowings-up preserving the normal-crossings locus of X, af
Externí odkaz:
http://arxiv.org/abs/2211.15713
We present a description of singular horizontal curves of a totally nonholonomic analytic distribution in term of the projections of the orbits of some isotropic subanalytic singular distribution defined on the nonzero annihilator of the initial dist
Externí odkaz:
http://arxiv.org/abs/2208.01392
We prove a generalization of Gabrielov's rank theorem for families of rings of power series which we call W-temperate. Examples include the families of complex analytic functions and of Eisenstein series. As a Corollary, we provide rank Theorems for
Externí odkaz:
http://arxiv.org/abs/2205.03079
We provide examples of vector fields on $(\mathbb{C}^3, 0)$ admitting a formal first integral but no holomorphic first integral. These examples are related to a question raised by D. Cerveau and motivated by the celebrated theorems of Malgrange and M
Externí odkaz:
http://arxiv.org/abs/2110.13072
Publikováno v:
Trans. Amer. Math. Soc. 375 (2022), no. 9, 6747--6767
We prove that the topological type of a normal surface singularity $(X,0)$ provides finite bounds for the multiplicity and polar multiplicity of $(X,0)$, as well as for the combinatorics of the families of generic hyperplane sections and of polar cur
Externí odkaz:
http://arxiv.org/abs/2103.15444
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:
http://arxiv.org/abs/2008.13130
If F is an infinitely differentiable function whose composition with a blowing-up belongs to a Denjoy-Carleman class C_M (determined by a log convex sequence M=(M_k)), then F, in general, belongs to a larger shifted class C_N, where N_k = M_2k; i.e.,
Externí odkaz:
http://arxiv.org/abs/2006.10580
Publikováno v:
Compositio Mathematica, 158(3), 623--653, 2022
We undertake a systematic study of Lipschitz Normally Embedded normal complex surface germs. We prove in particular that the topological type of such a germ determines the combinatorics of its minimal resolution which factors through the blowup of it
Externí odkaz:
http://arxiv.org/abs/2006.01773