RT Journal Article
T1 Symmetries Of Accola-Maclachlan And Kulkarni Surfaces
A1 Gamboa Mutuberria, José Manuel
A1 Broughton, SA
A1 Bujalance, E.
A1 Costa, F.A.
A1 Gromadzki, G.
AB For all g 2 there is a Riemann surface of genus g whose automorphism group has order 8g+8, establishing a lower bound for the possible orders of automorphism groups of Riemann surfaces. Accola and Maclachlan established the existence of such surfaces; we shall call them Accola-Maclachlan surfaces. Later Kulkarni proved that for suciently large g the Accola-Maclachlan surface was unique for g = 0;1; 2 mod 4 and produced exactly one additionalsurface (the Kulkarni surface) for g = 3 mod 4. In this paper we determine the symmetries of these special surfaces, computing the number of ovals and the separability of the symmetries. The results are then applied to classify the real forms of these complex algebraic curves. Explicit equations of these real forms of Accola-Maclachlan surfaces are given in all but one case.
PB American Mathematical Society
SN 0002-9939
YR 1999
FD 1999
LK https://hdl.handle.net/20.500.14352/57274
UL https://hdl.handle.net/20.500.14352/57274
LA eng
NO DGICYT PB 95-0017;CEE-CHRX-CT93-0408;DGICYT PB 95-0354;
DS Docta Complutense
RD 9 abr 2025