Zobrazeno 1 - 10
of 274
pro vyhledávání: '"Nuño Ballesteros A"'
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 prove the Mond conjecture for wave fronts which states that the number of parameters of a frontal versal unfolding is less than or equal to the number of spheres in the image of a stable frontal deformation with equality if the wave front is weigh
Externí odkaz:
http://arxiv.org/abs/2407.16635
We study the analytic structure of the double and triple point spaces $M_2(f)$ and $M_3(f)$ of finite multi-germs $f\colon (X,S)\to(\mathbb{C}^{n+1},0)$, based on results of Mond and Pellikaan for the mono-germ case. We show that these spaces are Coh
Externí odkaz:
http://arxiv.org/abs/2405.12974
We study germs of hypersurfaces $(Y,0)\subset (\mathbb C^{n+1},0)$ that can be described as the image of $\mathscr A$-finite mappings $f:(X,S)\rightarrow (\mathbb C^{n+1},0)$ defined on an ICIS $(X,S)$ of dimension $n$. We extend the definition of th
Externí odkaz:
http://arxiv.org/abs/2309.16193
We consider $\mathcal{A}$-finite map germs $f$ from $(\mathbb{C}^n,0)$ to $(\mathbb{C}^{2n},0)$. First, we show that the number of double points that appears in a stabilization of $f$, denoted by $d(f)$, can be calculated as the length of the local r
Externí odkaz:
http://arxiv.org/abs/2308.05284
We develop a Thom-Mather theory of frontals analogous to Ishikawa's theory of deformations of Legendrian singularities but at the frontal level, avoiding the use of the contact setting. In particular, we define concepts like frontal stability, versal
Externí odkaz:
http://arxiv.org/abs/2302.13621
We prove that a map germ $f:(\mathbb{C}^n,S)\to(\mathbb{C}^{n+1},0)$ with isolated instability is stable if and only if $\mu_I(f)=0$, where $\mu_I(f)$ is the image Milnor number defined by Mond. In a previous paper we proved this result with the addi
Externí odkaz:
http://arxiv.org/abs/2207.01735
We consider singularities of frontal surfaces of corank one and finite frontal codimension. We look at the classification under left-right-equivalence and introduce the notion of frontalisation for singularities of fold type. We define the cuspidal a
Externí odkaz:
http://arxiv.org/abs/2205.02097
Autor:
Lima-Pereira, Bárbara K., Nuño-Ballesteros, Juan José, Oréfice-Okamoto, Bruna, Tomazella, João Nivaldo
We give formulas for the Bruce-Roberts number $\mu_{BR}(f,X)$ and its relative version $\mu_{BR}^{-}(f,X)$ of a function $f$ with respect to an ICIS $(X,0)$. We show that $\mu_{BR}^{-}(f,X)=\mu(f^{-1}(0)\cap X,0)+\mu(X,0)-\tau(X,0)$, where $\mu$ and
Externí odkaz:
http://arxiv.org/abs/2203.11186
We study germs of analytic maps $f:(X,S)\rightarrow(\mathbb{C}^p,0)$, when $X$ is an ICIS of dimension $n
Externí odkaz:
http://arxiv.org/abs/2108.00743