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pro vyhledávání: '"HIDALGO, Rubén"'
Autor:
Hidalgo, Ruben A.
Let $\chi$ be a (right) action of ${\rm PSL}_{2}({\mathbb L})$ on the space ${\mathbb L}(z)$ of rational maps defined over an algebraically closed field ${\mathbb L}$. If $R \in {\mathbb L}(z)$ and ${\mathcal M}_{R}^{\chi}$ is its $\chi$-field of mod
Externí odkaz:
http://arxiv.org/abs/2411.08006
Autor:
Hidalgo, Rubén A.
Let $M^{0}$ be a complete hyperbolic $3$-manifold whose conformal boundary is a closed Riemann surface $S$ of genus $g \geq 2$. If $M=M^{0} \cup S$, then let ${\rm Aut}(S;M)$ be the group of conformal automorphisms of $S$ which extend to hyperbolic i
Externí odkaz:
http://arxiv.org/abs/2410.09888
Autor:
Hidalgo, Ruben A.
The configuration space of $k \geq 3$ ordered points in the Riemann sphere $\widehat{\mathbb C}$ is the Torelli space ${\mathcal U}_{0,k}$; a complex manifold of dimension $k-3$. If $m,n \geq 4$ and $F:{\mathcal U}_{0,m} \to {\mathcal U}_{0,n}$ is a
Externí odkaz:
http://arxiv.org/abs/2410.07136
Let $X\subset {\mathbb P}_{K}^{m}$ be a smooth irreducible projective algebraic variety of dimension $d$, defined over an algebraically closed field $K$ of characteristic $p>0$. We say that $X$ is a generalized Fermat variety of type $(d;k,n)$, where
Externí odkaz:
http://arxiv.org/abs/2410.07085
Autor:
Hidalgo, Rubén A.
Let $S$ be a Riemann surface with a non-abelian fundamental group and for each integer $k \geq 2$ or $k=\infty$, let $\widetilde{S}_{k}$ be its $k$-homology cover. The surface $\widetilde{S}_{k}$ admits a group of conformal automorphisms $M_{k} \cong
Externí odkaz:
http://arxiv.org/abs/2407.05442
Autor:
Hidalgo, Ruben A.
The explicit computation of the field of moduli of a closed Riemann surface is, in general, a difficult task. In this paper, for each even integer $k \geq 2$, we consider a suitable $2$-real parameter family of non-hyperelliptic pseudo-real Riemann s
Externí odkaz:
http://arxiv.org/abs/2401.05287
Autor:
Hidalgo, Rubén A.
We prove the existence of finite groups of orientation-preserving homeomorphisms of some closed orientable surface $S$ that act freely and which extends as a group of homeomorphisms of some compact orientable $3$-manifold with boundary $S$, but which
Externí odkaz:
http://arxiv.org/abs/2310.18124
There is a natural link between (multi-)curves that fill up a closed oriented surface and dessins d'enfants. We use this approach to exhibit explicitly the minima of the geodesic length function of a kind of curves (uniform filling curves) which incl
Externí odkaz:
http://arxiv.org/abs/2306.09543
Autor:
Hidalgo, Ruben A.
In a recent paper, H. Shiga proved that the regions of discontinuity of any two Schottky groups of ranks at least two are quasiconformally equivalent. In this paper, we provide an alternative proof of such a fact. Our approach permits us to discuss q
Externí odkaz:
http://arxiv.org/abs/2306.06469
Publikováno v:
Transformation Groups (2024)
In this article, we consider certain irreducible subvarieties of the moduli space of compact Riemann surfaces determined by the specification of actions of finite groups. We address the general problem of determining which among them are non-normal s
Externí odkaz:
http://arxiv.org/abs/2306.01673