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Title:
Gaeta Resolutions of Ideal Sheaves and Effective Divisors on Relative Jacobians
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Abstract:
In this talk, we will study the moduli space of pure one-dimensional sheaves on the projective plane, which is a compactification of the relative Jacobians of complete linear systems of plane curves. We will see how a close relationship between the Gaeta resolution of the generic ideal sheaf of n points and the minimal resolution of a generic pure one-dimesional sheaf makes it possible to translate work of Jack Huizenga on effective cones of Hilbert schemes into similar results for moduli spaces of one-dimensional sheaves.
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