Zobrazeno 1 - 10
of 98
pro vyhledávání: '"Kerner, Dmitry"'
Autor:
Kerner, Dmitry, Mendes, Rodrigo
Let X_o be a weighted-homogeneous complete intersection germ in (R^N,o) or (C^N,o), with arbitrary singularities, possibly non-reduced. Take the foliation of the ambient space by weighted-homogeneous real arcs, \ga_s. Take a deformation of X_o by hig
Externí odkaz:
http://arxiv.org/abs/2409.09764
Autor:
Kerner, Dmitry, Mendes, Rodrigo
Let X be a reduced complex-analytic germ of pure dimension n\ge2, with arbitrary singularities (not necessarily normal or complete intersection). Various homology cycles on Link_\ep[X] vanish at different speeds when \ep\to0. We give a condition ensu
Externí odkaz:
http://arxiv.org/abs/2404.16968
Autor:
Kerner, Dmitry, Mendes, Rodrigo
Let X_o be a complex weighted-homogeneous complete intersection germ, (possibly non-reduced). Let X be a perturbation of X_o by ``higher-order-terms". We give sufficient criteria to detect fast cycles on X, via the weights of X_o. This is an easy obs
Externí odkaz:
http://arxiv.org/abs/2311.13423
Autor:
Kerner, Dmitry
The standard Artin approximation (AP) is not readily applicable to the left-right equivalence of morphisms Maps((k^n,o),(k^m,o)). Moreover, the na\"ive extension does not hold in the k-analytic case, because of Osgood-Gabrielov-Shiota examples. The l
Externí odkaz:
http://arxiv.org/abs/2310.01521
Autor:
Kerner, Dmitry
Consider the (formal/analytic/algebraic) map-germs Maps(X,(k^p,o)). Let G be the group of right/contact/left-right transformations. I extend the following (classical) results from the real/complex-analytic case to the case of arbitrary field k. * A s
Externí odkaz:
http://arxiv.org/abs/2209.05071
Autor:
Kerner, Dmitry
The germs of maps (k^n,o)\to(k^p,o) are traditionally studied up to the right, left-right or contact equivalence. Various questions about the group-orbits are reduced to their tangent spaces. Classically the passage from the tangent spaces to the orb
Externí odkaz:
http://arxiv.org/abs/2111.02715
Autor:
Kerner, Dmitry
Let M be a filtered module. Some properties of elements of M are "generic" in the following sense: (being open/stable) if an element z of M has a property P then any approximation of z has P; (being dense) any element of M is approximated by an eleme
Externí odkaz:
http://arxiv.org/abs/1910.05731
Autor:
Belitskii, Genrich, Kerner, Dmitry
The classical lemma of Borel reads: any power series with real coefficients is the Taylor series of a smooth function. Algebraically this means the surjectivity of the completion map at a point, $C^\infty(\Bbb{R}^n) \twoheadrightarrow \Bbb{R}[[\under
Externí odkaz:
http://arxiv.org/abs/1907.10053
Artin approximation and other related approximation results are used in various areas. The traditional formulation of such results is restricted to filtrations by powers of ideals, $\{I^j\}$, and to Noetherian rings. In this paper we extend several a
Externí odkaz:
http://arxiv.org/abs/1907.09736
Autor:
Kerner, Dmitry
We consider matrices with entries in a local ring, Mat(R). Fix a group action, G on Mat(R), and a subset of allowed deformations, \Sigma. The traditional objects of study in Singularity Theory and Algebraic Geometry are the tangent spaces T_{(\Sigma,
Externí odkaz:
http://arxiv.org/abs/1904.10790