Stringy motives of symmetric products
classification
🧮 math.AG
keywords
functionmotivesstringysymmetricalgebraiccompactcomplexcomputations
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Given a complex smooth algebraic variety X, we compute the generating function of the stringy motives of its symmetric powers as a function of motive of X. In dimension two we recover the Goettsche formulas for Hilbert schemes. We use the formalism of lambda-rings to get a particularly compact formula, which is convenient for explicit computations.
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