On the connectedness of the branch locus of moduli space of hyperelliptic Klein surfaces with one boundary
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چکیده
2000 Mathematics Suject Classification. Primary 30F10, 30F50; Secondary 14H15, 20H10. Abstract. In this work we prove that the hyperelliptic branch locus of orientable Klein surfaces of genus g with one boundary component is connected and in the case of non-orientable Klein surfaces it has g+1 2 components, if g is odd, and g+2 2 components for even g. We notice that, for non-orientable Klein surfaces with two boundary components, the hyperelliptic branch loci are connected for all genera.
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تاریخ انتشار 2015