Reflection theorem for divisor class groups of relative quadratic function fields |
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Authors: | Yoonjin Lee |
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Affiliation: | Department of Mathematics, Ewha Womans University, Seoul 120-750, South Korea |
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Abstract: | We present the reflection theorem for divisor class groups of relative quadratic function fields. Let K be a global function field with constant field Fq. Let L1 be a quadratic geometric extension of K and let L2 be its twist by the quadratic constant field extension of K. We show that for every odd integer m that divides q+1 the divisor class groups of L1 and L2 have the same m-rank. |
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Keywords: | primary, 11R29 secondary, 11R58 |
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