Symmetric product of an algebraic curve
ID: 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.
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