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pro vyhledávání: '"Tomazella, João Nivaldo"'
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
Autor:
Zampiva, Jose Rafael Borges, Penafort-Sanchis, Guillermo, Orefice-Okamoto, Bruna, Tomazella, Joao Nivaldo
A reflection mapping is a singular holomorphic mapping obtained by restricting the quotient mapping of a complex reflection group. We study the analytic structure of double point spaces of reflection mappings. In the case where the image is a hypersu
Externí odkaz:
http://arxiv.org/abs/2312.06792
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
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
Autor:
de Carvalho, Rafaela Soares, Nuño-Ballesteros, Juan José, Oréfice-Okamoto, Bruna, Tomazella, João Nivaldo
We show that a family of isolated complete intersection singularities (ICIS) with constant total Milnor number has no coalescence of singularities. This extends a well known result of Gabrielov, Lazzeri and L\^e for hypersurfaces. We use A'Campo's th
Externí odkaz:
http://arxiv.org/abs/2103.07219
Let $(X,0)\subset (\mathbb{C}^n,0)$ be an irreducible weighted homogeneous singularity curve and let $f:(X,0)\to(\mathbb{C}^2,0)$ be a map germ finite, one-to-one and weighted homogeneous with the same weights of $(X,0)$. We show that $\mathscr{A}_e$
Externí odkaz:
http://arxiv.org/abs/1709.09504
Publikováno v:
Math. Proc. Camb. Phil. Soc. 155 (2013), 307-315
The constancy of the Milnor number has several characterizations which were summarized by Greuel in 1986. This paper presents a study of these characterizations in the case of families of functions with isolated singularities defined on an analytic v
Externí odkaz:
http://arxiv.org/abs/1204.0060
Akademický článek
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Publikováno v:
Glasgow Mathematical Journal; January 2004, Vol. 46 Issue: 1 p121-130, 10p
Publikováno v:
Glasgow Mathematical Journal; January 2004, Vol. 46 Issue: 1 p121-130, 10p