$M$-curves and symmetric products
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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 $n \geq 2g − 1$.
INDRANIL BISWAS1 SHANE D’MELLO2
Volume 132, 2022
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