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pro vyhledávání: '"Thủy, Nguyễn Thị Bích"'
The use of Cauchy's method in proving the well-known Euler formula is an object of many controversies. The purpose of this paper is to prove that the Cauchy's method applies for convex polyhedra and not only for them, but also for surfaces such as th
Externí odkaz:
http://arxiv.org/abs/2003.12709
Publikováno v:
Topology and its Applications, v.293, p.107558, 2021
The use of Cauchy's method to prove Euler's well-known formula is an object of many controversies. The purpose of this paper is to prove that Cauchy's method applies for convex polyhedra and not only for them, but also for surfaces such as the torus,
Externí odkaz:
http://arxiv.org/abs/2003.07696
Autor:
Thuy, Nguyen Thi Bich
We construct a non-proper set of two variables polynomial maps and study the nowhere vanishing Jacobian condition of the Jacobian conjecture for this set. We obtain some classes of polynomial maps satisfying the 2-dimensional Jacobian conjecture for
Externí odkaz:
http://arxiv.org/abs/1902.05923
Autor:
Thuy, Nguyen Thi Bich
We describe a singular variety associated to the smallest degree Pinchuk map and calculate its intersection homology. The result describes the geometry at infinity of the Pinchuk's map.
Externí odkaz:
http://arxiv.org/abs/1710.03318
Publikováno v:
Revista Eletr\^onica Paulista de Matem\'atica, v.16, p.134 - 162, 2019
The Poincare-Hopf Theorem is one of the most used in other areas of science. There are applications of the Poincare-Hopf Theorem in physics, chemistry, biology and even in economics, psychology, etc ... The Poincare-Hopf Theorem connects an invariant
Externí odkaz:
http://arxiv.org/abs/1710.08764
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We introduce the Euler-Poincar\'e's characteristic with an elementary way and historically. We explain also why one should call Descartes-Poincar\'e characteristic instead of the Euler-Poincar\'e's characteristic. All the considered spaces are compac
Externí odkaz:
http://arxiv.org/abs/1611.03918
Autor:
Thuy, Nguyen Thi Bich
We prove that the stratification of the asymptotic set associated to a polynomial mapping $F: \mathbb{C}^n \to \mathbb{C}^n$ defined by "la m\'ethode des fa\c{c}ons" (arXiv:1407.5329) is a Thom-Mather stratification. Nous prouvons que la stratificati
Externí odkaz:
http://arxiv.org/abs/1611.01384
Autor:
Thuy, Nguyen Thi Bich
Publikováno v:
Applied Mathematics, Vol.7 No.15, September 2016
We provide relations of the results obtained in the articles \cite{ThuyCidinha} and \cite{VuiThang}. Moreover, we provides some examples to illustrate these relations, using the software {\it Maple} to complete the complicate calculations of the exam
Externí odkaz:
http://arxiv.org/abs/1606.08799
Autor:
Thuy, Nguyen Thi Bich
In \cite{Valette}, Guillaume and Anna Valette associate singular varieties $V_F$ to a polynomial mapping $F: \C^n \to \C^n$. In the case $F: \C^2 \to \C^2$, if the set $K_0(F)$ of critical values of $F$ is empty, then $F$ is not proper if and only if
Externí odkaz:
http://arxiv.org/abs/1511.03133