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math.AG2021
Irreducibility and singularities of some nested Hilbert schemes
Tim Ryan, Gregory Taylor
Let be a smooth projective surface over . We study the local and global geometry of the nested Hilbert scheme of points . In particular, we show th…
math.AG2021
Asymptotic syzygies of secant varieties of curves
Gregory Taylor
We prove that the minimal free resolution of the secant variety of a curve is asymptotically pure. As a corollary, we show that the Betti numbers of converge to a normal distributi…