On Abelian Branched Coverings of the Sphere |
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Authors: | Jaeun Lee Jong-Wook Kim |
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Institution: | (1) Mathematics, Yeungnam University, Kyongsan, 712-749 Korea e-mail: julee@ynucc.yeungnam.ac.kr, KR;(2) Mathematics, Yeungnam University, Kyongsan, 712-749 Korea, KR |
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Abstract: | We obtain an enumeration formula for the number of weak equivalence classes of the branched (?×ℬ)-covering of the sphere
with m-branch points, when ? and ℬ are finite abelian groups with (|?|,|ℬ|)=1. From this, we can deduce an explicit formula for
enumerating the weak equivalence classes of pseudofree spherical (ℤ
p
×ℤ
q
)-actions on a given surface, when p and q are distinct primes.
Received: August 10, 1999 Final version received: June 19, 2000 |
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Keywords: | |
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