23 citations · 56 across the 18 of their papers we have counts for
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math.AG2023
On divisorial stability of finite covers
Ruadhaí Dervan, Theodoros Stylianos Papazachariou
Divisorial stability of a polarised variety is a stronger - but conjecturally equivalent - variant of uniform K-stability introduced by Boucksom-Jonsson. Whereas uniform K-stabilit…
math.DG2023★ 1 cited
The universal structure of moment maps in complex geometry
Ruadhaí 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 holomo…
math.AG2023
The birational geometry of GIT quotients
Ruadhaí Dervan, Rémi Reboulet
Geometric Invariant Theory (GIT) produces quotients of algebraic varieties by reductive groups. If the variety is projective, this quotient depends on a choice of polarisation; by…