most citedMultiple-point residue formulas for holomorphic maps

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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…

math.AG2021★ 1 cited

Multiple-point residue formulas for holomorphic maps

Gergely Bérczi, András Szenes

We develop a new approach to the study of the multipoint loci of holomorphic maps between complex manifolds. We relate the -fold locus to the curvilinear component of the Hilber…