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pro vyhledávání: '"Reis, Helena"'
Autor:
Reis, Helena
Publikováno v:
Communications in Mathematics, Volume 32 (2024), Issue 3 (Special issue: Portuguese Mathematics) (May 31, 2024) cm:12651
These notes are a slightly enlarged version of my habilitation thesis, where our research interest and main results in the past few years are summarized. Most of the discussion revolves around complex ordinary differential equations and their underli
Externí odkaz:
http://arxiv.org/abs/2312.01505
Autor:
Rebelo, Julio C., Reis, Helena
In dimensions greater than or equal to 3, the local structure of a singular holomorphic foliation conceals a globally defined foliation on the projective space of dimension one less. In this paper, we will discuss how the global dynamics of the latte
Externí odkaz:
http://arxiv.org/abs/2301.05534
This paper is devoted to geodesic completeness of left-invariant metrics for real and complex Lie groups. We start by establishing the Euler-Arnold formalism in the holomorphic setting. We study the real Lie group $\mathrm{SL}(2, \mathbb{R})$ and reo
Externí odkaz:
http://arxiv.org/abs/2208.10873
Autor:
Reis, Helena Macedo
Os softwares de Geometria Interativa (GI) foram desenvolvidos com o objetivo de possibilitar aos estudantes explorarem a geometria por meio do computador, permitindo a construção e manipulação de objetos geométricos, como retas, pontos e circunf
Autor:
Rebelo, Julio C., Reis, Helena
Let $\mathcal{F}$ be a foliation defined on a complex projective manifold $M$ of dimension $n$ and admitting a holomorphic vector field $X$ tangent to it along some non-empty Zariski-open set. In this paper we prove that if $X$ has sufficiently many
Externí odkaz:
http://arxiv.org/abs/2205.08626
This paper is devoted to characterizing complex projective structures defined on Riemann surface orbifolds and giving rise to injective developing maps defined on the monodromy covering of the surface (orbifold) in question. The relevance of these st
Externí odkaz:
http://arxiv.org/abs/2202.05646
We provide examples of vector fields on $(\mathbb{C}^3, 0)$ admitting a formal first integral but no holomorphic first integral. These examples are related to a question raised by D. Cerveau and motivated by the celebrated theorems of Malgrange and M
Externí odkaz:
http://arxiv.org/abs/2110.13072
Dissertação de Mestrado em Matemática Aplicada apresentada à Faculdade de Ciências da Universidade do Porto
Externí odkaz:
http://hdl.handle.net/10216/9963
Publikováno v:
In Nonlinear Analysis July 2023 232