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A transition matrix for two bases of the integral cohomology of the Hilbert scheme of points in the projective plane
(University of Missouri--Columbia, 2010)
This work is devoted to comparing two integral bases for the integral cohomology of the Hilbert scheme of points in the projective plane. Let X be a smooth complex projective surface. One of the more interesting moduli ...
On the Euler characteristics of certain moduli spaces of 1-dimensional subschemes
(University of Missouri--Columbia, 2017)
Generalizing the ideas in [LQ] and using virtual Hodge polynomials as well as torus actions, we compute the Euler characteristics of some moduli spaces of 1-dimensional closed subschemes when the ambient smooth projective ...