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math.AG2015★ 14 cited
Nef cones of Hilbert schemes of points on surfaces
Barbara Bolognese, Jack Huizenga, Yinbang Lin +4
Let X be a smooth projective surface of irregularity 0. The Hilbert scheme of n points on X parameterizes zero-dimensional subschemes of X of length n. In this paper, we discuss ge…
math.AG2015
Regulating Hartshorne's connectedness theorem
Bruno Benedetti, Barbara Bolognese, Matteo Varbaro
A classical theorem by Hartshorne states that the dual graph of any arithmetically Cohen--Macaulay projective scheme is connected. We give a quantitative version of Hartshorne's re…