Hilbert schemes of points and Fulton-MacPherson compactifications
Denis Nesterov
TL;DR
This paper explores the relationship between Hilbert schemes of points and Fulton-MacPherson compactifications using a new stability condition, deriving wall-crossing formulas and applications in enumerative geometry.
Contribution
It introduces an interpolating stability condition linking Hilbert schemes and Fulton-MacPherson compactifications, along with wall-crossing formulas and enumerative geometry applications.
Findings
Derived wall-crossing formulas for Hilbert schemes
Established connections between Hilbert schemes and Fulton-MacPherson compactifications
Provided new applications in enumerative geometry
Abstract
We relate Hilbert schemes of points and Fulton-MacPherson compactifications by an interpolating stability condition. We then derive wall-crossings formulas and some applications for the enumerative geometry of Hilbert schemes.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Polynomial and algebraic computation · Point processes and geometric inequalities