Double Coverings Of Klein Surfaces By A Given Riemann Surface



Downloads per month over past year

Gamboa, J. M. and Bujalance, E. and Conder, M.D.E and Gromadzki, G. and Izquierdo, Milagros (2002) Double Coverings Of Klein Surfaces By A Given Riemann Surface. Journal Of Pure And Applied Algebra, 169 (2-3). pp. 137-151. ISSN 0022-4049

[thumbnail of 13.pdf] PDF
Restringido a Repository staff only


Official URL:


Let X be a Riemann surface. Two coverings p1 : X → Y1 and p2 : X → Y2 are said to be equivalent if p2 =’p1 for some conformal homeomorphism ’: Y1 → Y2. In this paper we determine, for each integer g¿2, the maximum number R(g) of inequivalent rami>ed coverings between compact Riemann surfaces X → Y of degree 2; where X has genus g. Moreover, for in>nitely many values of g, we compute the maximum number U(g) of inequivalent unrami>ed coverings X → Y of degree 2 where X has genus g and admits no rami>ed covering.
For the remaining values of g, the computation of U(g) relies on a likely conjecture on the number of conjugacy classes of 2-groups. We also extend these results to double coverings X → Y , where.
Y is now a proper Klein surface. In the language of algebraic geometry, this means we calculate the number of real forms admitted by the complex algebraic curve X . c 2002 Elsevier Science B.V. All rights reserved.

Item Type:Article
Uncontrolled Keywords:Degree 2 Coverings; Real Forms Of Algebraic Curves
Subjects:Sciences > Mathematics > Algebra
ID Code:15276
Deposited On:21 May 2012 10:50
Last Modified:22 Aug 2018 10:30

Origin of downloads

Repository Staff Only: item control page