Zobrazeno 1 - 10
of 39
pro vyhledávání: '"SANTOS, Raimundo N."'
We introduce the notion of a (strongly) inner non-degenerate mixed function $f:\mathbb{C}^2\to\mathbb{C}$. We show that inner non-degenerate mixed polynomials have weakly isolated singularities and strongly inner non-degenerate mixed polynomials have
Externí odkaz:
http://arxiv.org/abs/2208.11655
In this paper we construct new classes of mixed singularities that provide realizations of real algebraic links in the $3$-sphere. Classifications and characterizations of real algebraic links are still open. These new classes of mixed singularities
Externí odkaz:
http://arxiv.org/abs/2011.11206
Akademický článek
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Publikováno v:
J. Math. Soc. Japan 72 (2020), no. 3, 945-957
We introduce the sphere fibration for real map germs with radial discriminant and we address the problem of its equivalence with the Milnor-Hamm tube fibration. Under natural conditions, we prove the existence of open book structures with singulariti
Externí odkaz:
http://arxiv.org/abs/1809.08384
Publikováno v:
Bulletin des Sciences Math\'ematiques 155 (2019), 92-111
We define local fibration structures for real map germs with strictly positive dimensional discriminant: a local fibration structure over the complement of the discriminant, and a complete local fibration structure which includes the stratified discr
Externí odkaz:
http://arxiv.org/abs/1711.07544
Akademický článek
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Publikováno v:
Bulletin of the Brazilian Mathematical Society; Sep2024, Vol. 55 Issue 3, p1-49, 49p
In this survey, we remind some fibrations structure theorems (also called Milnor's fibrations) recently proved in the real and complex case, in the local and global settings. We give several Poincar\'e-Hopf type formulae which relates the Euler-Poinc
Externí odkaz:
http://arxiv.org/abs/1409.5053
Given a $C^2$ semi-algebraic mapping $F: \mathbb{R}^N \rightarrow \mathbb{R}^p,$ we consider its restriction to $W\hookrightarrow \mathbb{R^{N}}$ an embedded closed semi-algebraic manifold of dimension $n-1\geq p\geq 2$ and introduce sufficient condi
Externí odkaz:
http://arxiv.org/abs/1409.4316
Publikováno v:
Math. Scand. 118 (2016), 57-69
We provide significant conditions under which we prove the existence of stable open book structures at infinity, i.e. on spheres $S^{m-1}_R$ of large enough radius $R$. We obtain new classes of real polynomial maps $\mathbb R^m \to \mathbb R^p$ which
Externí odkaz:
http://arxiv.org/abs/1401.8286