Zobrazeno 1 - 10
of 25
pro vyhledávání: '"32S05 (Primary)"'
Autor:
Ayuso, Pedro Fortuny, Ribón, Javier
We provide sharp lower bounds for the multiplicity of a local holomorphic foliation defined in a complex surface in terms of data associated to a germ of invariant curve. Then we apply our methods to invariant curves whose branches are isolated, i.e.
Externí odkaz:
http://arxiv.org/abs/2310.13131
Autor:
Hiep, Pham Hoang
In this paper, we combine tools in pluripotential theory and commutative algebra to study singularity invariants of plurisubharmonic functions. We obtain some relationships between singularity invariants of plurisubharmonic functions and holomorphic
Externí odkaz:
http://arxiv.org/abs/2304.02238
Splice type surface singularities, introduced in 2002 by Neumann and Wahl, provide all examples known so far of integral homology spheres which appear as links of complex isolated complete intersections of dimension two. They are determined, up to a
Externí odkaz:
http://arxiv.org/abs/2205.12839
Splice type surface singularities were introduced by Neumann and Wahl as a generalization of the class of Pham-Brieskorn-Hamm complete intersections of dimension two. Their construction depends on a weighted tree called a splice diagram. In this pape
Externí odkaz:
http://arxiv.org/abs/2108.05912
Autor:
Sampaio, José Edson
This paper is devoted to proving the differential invariance of the multiplicity of real and complex analytic sets. In particular, we prove the real version of Gau-Lipman's Theorem, i.e., it is proved that the multiplicity mod 2 of real analytic sets
Externí odkaz:
http://arxiv.org/abs/2009.13643
Publikováno v:
Rev. Mat. Iberoam. 37 (2021), no. 6, pp. 2229-2244
Let ${\mathcal F}$ be a germ of holomorphic foliation defined in a neighborhood of the origin of ${\mathbb C}^{2}$ that has a germ of irreducible holomorphic invariant curve $\gamma$. We provide a lower bound for the vanishing multiplicity of ${\math
Externí odkaz:
http://arxiv.org/abs/2007.04757
We relate the moduli space of analytic equivalent germs of reduced quasi-homogeneous functions at $(\mathbb{C}^2,0)$ with their bi-Lipschitz equivalence classes. We show that any non-degenerate continuous family of (reduced) quasi-homogeneous functio
Externí odkaz:
http://arxiv.org/abs/2004.03778
Autor:
Sumida, Daiki
Milnor fibrations were extended by Mutsuo Oka for certain mixed polynomial. In this paper, we study singular points of differentiable maps into the 2-dimensional torus, called Milnor fibration product maps, obtained by several Milnor fibrations for m
Externí odkaz:
http://arxiv.org/abs/1211.5715
Two subanalytic subsets of R^n are called s-equivalent at a common point P if the Hausdorff distance between their intersections with the sphere centered at P of radius r vanishes of order greater than s when r tends to 0. In this paper we prove that
Externí odkaz:
http://arxiv.org/abs/1209.3123
Autor:
Oleksik, Grzegorz
In the article we give some estimations of the {\L}ojasiewicz exponent of nondegenerate surface singularities in terms of their Newton diagrams. We also give an exact formula for the {\L}ojasiewicz exponent of such singularities in some special cases
Externí odkaz:
http://arxiv.org/abs/1110.4273