<Emphasis Type="Italic">M</Emphasis>-curves and symmetric products |
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Authors: | Indranil Biswas Shane D’Mello |
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Institution: | 1.School of Mathematics,Tata Institute of Fundamental Research,Mumbai,India;2.Department of Mathematics,Indian Institute of Science Education and Research,Pune,India |
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Abstract: | Let \((X\, , \sigma )\) be a geometrically irreducible smooth projective M-curve of genus g defined over the field of real numbers. We prove that the n-th symmetric product of \((X\, , \sigma )\) is an M-variety for \(n\,=\,2\, ,3\) and \(n \,\ge \, 2g -1\). |
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