On schottky-type groups with applications to riemann surfaces with nodes II
Titel:
On schottky-type groups with applications to riemann surfaces with nodes II
Auteur:
Rodriguez, Rubi Elena
Verschenen in:
Complex variables and elliptic equations
Paginering:
Jaargang 1 (1983) nr. 2-3 pagina's 293-310
Jaar:
1983-02
Inhoud:
In “On Schottky-type … I”, we embedded ST(s,t), the Schottky-type space of type (s,t) in [image omitted] , with p = s + t. By adding certain points of its boundary to ST(s,t), we form a new domain of holomorphy, ST*, in [image omitted] , and show that its points represent all compact Riemann surfaces of genus p, with at most p + s nodes, p of them dividing and s of them non-dividing, and with at most p + s parts: t of type (1,1), s of type (0,3), and one of type (0, p). Finally, we study the boundary of ST*, and conclude that it contains Kleinian groups of the first kind, cusps, non-discrete groups, and the Riemann surfaces with at most 3p - 3 nodes obtained by pinching a compact Riemann surface of genus p along a system of at most p non-dividing curves and at most 2p - 3 dividing curves.
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