RT Journal Article
T1 On the properness of some algebraic equations appearing in Fuchsian Groups
A1 Díaz Sánchez, Raquel
A1 Ushijima, Akira
AB In this paper we give necessary and sufficient conditions on three orientation-preserving hyperbolic isometries T1,T2,T3 so that for any point x ∈ H2 the orthogonal bisectors of the three segments with endpoints x, Ti(x) intersect. This is equivalent to proving the properness of certain algebraic sets. As a corollary, we give a new proof for the existence and density of generic fundamental polygons for cocompact Fuchsian groups.
PB Auburn University
SN 0146-4124
YR 2009
FD 2009
LK https://hdl.handle.net/20.500.14352/50026
UL https://hdl.handle.net/20.500.14352/50026
LA eng
DS Docta Complutense
RD 6 abr 2025