Espace des modules de certains polyèdres projectifs miroirs - Archive ouverte HAL Access content directly
Journal Articles Geometriae Dedicata Year : 2010

Espace des modules de certains polyèdres projectifs miroirs

Abstract

A projective mirror polyhedron is a projective polyhedron endowed with reflections across its faces. We construct an explicit diffeomorphism between the moduli space of a mirror projective polyhedron with fixed dihedral angles in $(0,\frac{\pi}{2}]$, and the union of $n$ copies of $\mathbb{R}^d$, when the polyhedron has the combinatorics of an \emph{ecimahedron}, an infinite class of combinatorial polyhedra we introduce here. Moreover, the integers $n$ and $d$ can be computed explicitly in terms of the combinatorics and the fixed dihedral angles.
Fichier principal
Vignette du fichier
Ecimaedre_final.pdf (449.88 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-00428904 , version 1 (30-10-2009)

Identifiers

Cite

Ludovic Marquis. Espace des modules de certains polyèdres projectifs miroirs. Geometriae Dedicata, 2010, 147 (1), p 47-86. ⟨10.1007/s10711-009-9438-2⟩. ⟨hal-00428904⟩
66 View
62 Download

Altmetric

Share

Gmail Facebook X LinkedIn More