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math.AG2002★ 1 cited
Multigraded Hilbert Schemes
Mark Haiman, Bernd Sturmfels
We introduce the multigraded Hilbert scheme, which parametrizes all homogeneous ideals with fixed Hilbert function in a polynomial ring that is graded by any abelian group. Our con…
math.AG2002★ 249 cited
Vanishing theorems and character formulas for the Hilbert scheme of points in the plane
Mark Haiman
Earlier we showed that the Hilbert scheme of points in the plane can be identified with the Hilbert scheme of regular orbits on . Using this result, together with…