Zobrazeno 1 - 10
of 77
pro vyhledávání: '"A'Campo, Norbert"'
Publikováno v:
Surveys in Geometry. II, ed. A. Papadopoulos, Springer Nature Switzerland, 2024, ISBN-10: 3031435095; ISBN-13: 978-3031435096
We present a variety of geometrical and combinatorial tools that are used in the study of geometric structures on surfaces: volume, contact, symplectic, complex and almost complex structures. We start with a series of local rigidity results for such
Externí odkaz:
http://arxiv.org/abs/2402.17283
Autor:
A'Campo, Norbert, de Bobadilla, Javier Fernandez, Pereira, Maria Pe, Cuadrado, Pablo Portilla
We study monodromies of plane curve singularities and pseudo-periodic homeomorphisms of oriented surfaces with boundary, following an original idea of the first author: t\^ete-\`a-t\^ete graphs and twists. We completely characterize mapping classes t
Externí odkaz:
http://arxiv.org/abs/1706.05580
Autor:
A'Campo, Norbert
To a univariate monic polynomial is attached a special planar forest that is called the picture of the polynomial. Isotopy classes of pictures are called signatures. All combinatorially possible signatures are realized and spaces of polynomials reali
Externí odkaz:
http://arxiv.org/abs/1702.05885
We comment on the paper \"Uber Extremalprobleme der konformen Geometrie (On extremal problems in conformal geometry) by Teichm\"uller, published in 1941. This paper contains ideas on a wide generalization of his previous work on the solution of extre
Externí odkaz:
http://arxiv.org/abs/1603.05026
We review some ideas of Grothendieck and others on actions of the absolute Galois group {\Gamma} Q of Q (the automorphism group of the tower of finite extensions of Q), related to the geometry and topology of surfaces (mapping class groups, Teichm{\"
Externí odkaz:
http://arxiv.org/abs/1603.03387
Grothendieck's Esquisse d'un programme is often referred to for the ideas it contains on dessins d'enfants, the Teichm{\"u}ller tower, and the actions of the absolute Galois group on these objects or their etale fundamental groups. But this program c
Externí odkaz:
http://arxiv.org/abs/1603.03016
In his 1944 paper Ver\"anderliche Riemannsche Fl\"achen , Teichm\"uller defined a structure of complex manifold on the set of isomorphism classes of marked closed Riemann surfaces of genus g. The complex manifold he obtained is the space called today
Externí odkaz:
http://arxiv.org/abs/1603.02229
We survey some major contributions to Riemann's moduli space and Teichm{\"u}ller space. Our report has a historical character, but the stress is on the chain of mathematical ideas. We start with the introduction of Riemann surfaces, and we end with t
Externí odkaz:
http://arxiv.org/abs/1602.07208
This is a mathematical commentary on Teichm{\"u}ller's paper ``Bestimmung der extremalen quasikonformen Abbildungen bei geschlossenen orientierten Riemannschen Fl{\"a}chen'' (Determination of extremal quasiconformal maps of closed oriented Riemann su
Externí odkaz:
http://arxiv.org/abs/1510.02609
We develop a transitional geometry, that is, a family of geometries of constant curvatures which makes a continuous connec-tion between the hyperbolic, Euclidean and spherical geometries. In this transitional setting, several geometric entities like
Externí odkaz:
http://arxiv.org/abs/1411.5801