Symmetric product of an algebraic curve
= Symmetric product of an algebraic curve
{wiki=Symmetric_product_of_an_algebraic_curve}
The symmetric product of an algebraic curve is a mathematical construction that generalizes the notion of products of points on the curve. More specifically, if \\( C \\) is a projective algebraic curve, the symmetric product \\( \\text\{Sym\}^n(C) \\) of \\( C \\) is the space that parameterizes unordered \\( n \\)-tuples of points on the curve, where the points can be repeated.