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math.DG2026
The universal structure of moment maps in complex geometry
Ruadhaà Dervan, Michael Hallam
We introduce a geometric approach to the construction of moment maps in finite and infinite-dimensional complex geometry. We apply this to two settings: Kähler manifolds and holom…
math.DG2025
Weighted extremal metrics on blowups
Michael Hallam
We show that if a compact Kähler manifold admits a weighted extremal metric for the action of a torus, so too does its blowup at a relatively stable point that is fixed by both th…