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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…