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math.AG2023
Fixed point distribution on Hilbert scheme of points
Gergely Bérczi, Jonas M. Svendsen
Let be a closed field of characteristic zero. We prove that all monomial ideals sit in the curvilinear component of the Hilbert scheme of points of the affine space $\…
math.AG2023
Tautological integrals on Hilbert scheme of points II: Geometric subsets
Gergely Bérczi
We develop a formula for tautological integrals over geometric subsets of the Hilbert scheme of points on complex manifolds. As an illustration of the theory, we derive a new itera…
math.AG2023
Tautological integrals on Hilbert scheme of points I
Gergely Bérczi
We develop a new method to study intersection theory of the main component of the Hilbert scheme of points on complex manifolds. The main result is an iterated residue formula for…