Zobrazeno 1 - 10
of 70
pro vyhledávání: '"Păunescu, Laurenţiu"'
Autor:
Koike, Satoshi, Paunescu, Laurentiu
In this paper we investigate the behaviour of the geometric directional bundles, associated to arbitrary subsets in R^n, under bi-Lipschitz homeomorphisms, and give conditions under which their bi-Lipschitz type is preserved. The most general sets we
Externí odkaz:
http://arxiv.org/abs/2312.06938
Autor:
Koike, Satoshi, Paunescu, Laurentiu
Let d be a positive integer. We show a finiteness theorem for semialgebraic RL triviality of a Nash family of Nash functions defined on a Nash manifold, generalising Benedetti-Shiota's finiteness theorem for semialgebraic RL equivalence classes appea
Externí odkaz:
http://arxiv.org/abs/2106.09918
Publikováno v:
Topology Appl, 313, 15 May 2022, 107991
This essay builds on the idea of grouping the polar curves of 2-variable function germs into polar clusters. In the topological category, one obtains a bijective correspondence between certain partitions of the polar quotients of two topologically eq
Externí odkaz:
http://arxiv.org/abs/2105.14578
Autor:
Koike, Satoshi, Paunescu, Laurentiu
In a previous paper we have introduced the notion of geometric directional bundle of a singular space, in order to introduce global bi-Lipschitz invariants. Then we have posed the question of whether or not the geometric directional bundle is stabili
Externí odkaz:
http://arxiv.org/abs/2105.00359
Autor:
Parusinski, Adam, Paunescu, Laurentiu
In the 1970s O. Zariski introduced a general theory of equisingularity for algebroid and algebraic hypersurfaces over an algebraically closed field of characteristic zero. His theory builds up on understanding the dimensionality type of hypersurface
Externí odkaz:
http://arxiv.org/abs/2104.07156
Publikováno v:
J. London Math. Soc. 106 (2022) no. 1, 112-153
We employ the perverse vanishing cycles to show that each reduced cohomology group of the Milnor fiber, except the top two, can be computed from the restriction of the vanishing cycle complex to only singular strata with a certain lower bound in dime
Externí odkaz:
http://arxiv.org/abs/2007.07064
Publikováno v:
Ann. l'Inst. Fourier (Grenoble) 74 (2022), no. 4, 1705-1731
We employ the formalism of vanishing cycles and perverse sheaves to introduce and study the vanishing cohomology of complex projective hypersurfaces. As a consequence, we give upper bounds for the Betti numbers of projective hypersurfaces, generalizi
Externí odkaz:
http://arxiv.org/abs/2004.07686
Autor:
Parusinski, Adam, Paunescu, Laurentiu
We show that the Zariski canonical stratification of complex hypersurfaces is locally bi-Lipschitz trivial along the strata of codimension two. More precisely, we study Zariski equisingular families of surface, not necessarily isolated, singularities
Externí odkaz:
http://arxiv.org/abs/1909.00296
Publikováno v:
In Topology and its Applications 15 May 2022 313
Autor:
Koike, Satoshi, Paunescu, Laurentiu
Publikováno v:
In Topology and its Applications 15 May 2022 313