Combinatorial enumeration of cyclic covers of P1

We study plane algebraic curves defined over a field k of arbitrary characteristic that are ramified coveringsof the projective line $P1(k)$ branched over a given configuration of distinct points by their ramification type specifiedby a partition of d the degree of the covering. We enumerate them by using the combinatorics of partitions and itsconnection to the representation theory of the symmetric group.

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ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

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