Zobrazeno 1 - 10
of 537
pro vyhledávání: '"32S50"'
Autor:
Zach, Matthias
We extend the circle of ideas from a previous paper on hypersurfaces to functions $f \colon (\mathbb C^n, 0) \to (\mathbb C^k, 0)$ with an isolated singularity in a stratified sense on an arbitrary, but fixed complex analytic germ $(X, 0)$. An extens
Externí odkaz:
http://arxiv.org/abs/2411.02682
In the early days of the Floer theory, Atiyah asked if there is a Milnor fiber description of the Floer homology of the links of singularities. We answer this question for the Brieskorn-Hamm complete intersection singularities. The resulting combinat
Externí odkaz:
http://arxiv.org/abs/2410.16584
Autor:
Lima-Pereira, Bárbara K., Nuño-Ballesteros, Juan José, Oréfice-Okamoto, Bruna, Tomazella, João Nivaldo
We relate the Bruce-Roberts numbers of a 1-form with respect to an ICIS to other invariants as the GSV-index, Tjurina and Milnor numbers.
Externí odkaz:
http://arxiv.org/abs/2409.08380
We find a Floer theoretic approach to obtain the transpose polynomial $W^T$ of an invertible curve singularity $W$. This gives an intrinsic construction of the mirror transpose polynomial and enables us to define a canonical $A_\infty$-functor that t
Externí odkaz:
http://arxiv.org/abs/2410.14678
These lecture notes attempt to invite the reader towards the theory of singular foliations, both smooth and holomorphic. In addition to a systematic review of the foundations, and an attempt to put in order examples and several elementary constructio
Externí odkaz:
http://arxiv.org/abs/2407.14932
We introduce the module of derivations $\Theta_{h,M}$ attached to a given analytic map $h:(\mathbb C^n,0)\to (\mathbb C^p,0)$ and a submodule $M\subseteq \mathcal O_n^p$ and analyse several exact sequences related to $\Theta_{h,M}$. Moreover, we obta
Externí odkaz:
http://arxiv.org/abs/2407.02947
Autor:
Sampaio, José Edson
In this paper, we prove metric analogues, in any dimension and in any co-dimension, of the famous Theorem of Mumford on smoothness of normal surfaces and the beautiful Theorem of Ramanujam that gives a topological characterization of $\mathbb{C}^2$ a
Externí odkaz:
http://arxiv.org/abs/2404.06943
We show that two bi-Lipschitz equivalent Brieskorn-Pham hypersurfaces have the same multiplicities at $0$. Moreover we show that if two algebraic $(n-1)$-dimensional cones $P, R\subset\mathbb C^n$ with isolated singularities are homeomorphic, then th
Externí odkaz:
http://arxiv.org/abs/2404.06922
In this article, we show the H\"older invariance of the Henry-Parusinski invariant. For a single germ $ f$, the Henry-Parusinski invariant of $ f $ is given in terms of the leading coefficients of the asymptotic expansion of $ f $ along the branches
Externí odkaz:
http://arxiv.org/abs/2402.08301
Autor:
Saeki, Osamu, Sakurai, Shuntaro
We consider links of complex isolated hypersurface singularities in $\mathbb{C}^{n+1}$ and study differentiable maps defined by restricting holomorphic functions to the links. We give an explicit example in which such a restriction gives a fold map i
Externí odkaz:
http://arxiv.org/abs/2402.02365