The degree of Kummer extensions of number fields
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DOI: 10.1142/s1793042121500263
Abstract: Let K be a number field, and let α1,…,αr be elements of K× which generate a subgroup of K× of rank r. Consider the cyclotomic-Kummer extensions of K given by K(ζn,α1n1,…,αrnr), where ni divides n… read more here.
Keywords: number; degree kummer; kummer extensions; extensions number ... See more keywords
Weierstrass points on Kummer extensions
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DOI: 10.1515/advgeom-2018-0021
Abstract: Abstract For Kummer extensions given by ym = f(x), we discuss conditions for an integer to be a Weierstrass gap at a place P. In the case of fully ramified places, the conditions are necessary… read more here.
Keywords: weierstrass points; points kummer; kummer extensions;