59 citations · 172 across the 27 of their papers we have counts for
5 papers · 1 filter
Toric sheaves and flips
Andrew Clarke, Achim Napame, Carl Tipler
Any toric flip naturally induces an equivalence between the associated categories of equivariant reflexive sheaves, and we investigate how slope stability behaves through this func…
A note on stable toric sheaves of low rank
Carl Tipler
Kaneyama and Klyachko have shown that any torus equivariant vector bundle of rank over splits if . In particular, any such bundle is not slope stable. In…
On the Futaki invariant of Fano threefolds
Lars Martin Sektnan, Carl Tipler
We study the zero locus of the Futaki invariant on K-polystable Fano threefolds, seen as a map from the Kähler cone to the dual of the Lie algebra of the reduced automorphism group…
Semi-stability and local wall-crossing for hermitian Yang-Mills connections
Andrew Clarke, Carl Tipler
We consider a sufficiently smooth semi-stable holomorphic vector bundle over a compact Kähler manifold. Assuming the automorphism group of its graded object to be abelian, we provi…
Blowing-up Hermitian Yang--Mills connections
Andrew Clarke, Carl Tipler
We investigate hermitian Yang--Mills connections for pullback vector bundles on blow-ups of Kähler manifolds along submanifolds. Under some mild asumptions on the graded object of…