3 papers
math.AG2026
On the Hilbert-Chow crepant resolution conjecture
Denis Nesterov
We prove the Hilbert-Chow crepant resolution conjecture in the exceptional curve classes for all projective surfaces and all genera. In particular, this confirms Ruan's cohomologic…
math.AG2025
Admissible covers and stable maps
Denis Nesterov, Maximilian Schimpf, Johannes Schmitt
Moduli spaces of admissible covers and stable maps of target curves give rise to cycles on . We prove a formula relating these cycles. It recovers both the Eked…
math.AG2025
Hilbert schemes of points and Fulton-MacPherson compactifications
Denis Nesterov
We relate Hilbert schemes of points and Fulton-MacPherson compactifications by an interpolating stability condition. We then derive wall-crossings formulas and some applications fo…