59 citations · 172 across the 27 of their papers we have counts for
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math.DG2022★ 1 cited
Analytic K-semistability and local wall-crossing
Lars Martin Sektnan, Carl Tipler
For a small polarised deformation of a constant scalar curvature Kähler manifold, under some cohomological vanishing conditions, we prove that K-polystability along nearby polarisa…
math.AG2022
Toric sheaves, stability and fibrations
Achim Napame, Carl Tipler
For an equivariant reflexive sheaf over a polarised toric variety, we study slope stability of its reflexive pullback along a toric fibration. Examples of such fibrations include e…
math.AG2022
The Zariski-Lipman conjecture for toric varieties
Carl Tipler
We give a short proof of the Zariski-Lipman conjecture for toric varieties: any complex toric variety with locally free tangent sheaf is smooth.