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Let b: Wi->Wi be a B-sheeted covering of closed Riemann surfaces of genera pi and p2 respectively, b is said to be strongly branched if pi>B'pi-\-(B -l)2. If M2 is the function field on W\ obtained by lifting the field from W% to W\, then Mi is said to bedoi:10.1090/s0002-9939-1970-0262485-4 fatcat:iz4cd2lsavbtrn66l5curjizne