5 citations · 5 across the 6 of their papers we have counts for
6 papers · 1 filter
Stable toric sheaves. I : Chern classes
Carl Tipler
We study rank 2 torus-equivariant torsion-free sheaves on the complex projective space. For reflexive sheaves we derive a simple formula for the Chern polynomial, and in the genera…
Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups
Rémi Delloque, Achim Napame, Carlo Scarpa +1
We introduce the notion of P-critical connections for hermitian holomorphic vector bundles over compact balanced manifolds: integrable hermitian connections whose curvature solves…
Foldable fans, cscK surfaces and local K-moduli
Carl Tipler
We study the moduli space of constant scalar curvature Kähler surfaces around the toric ones. To this aim, we introduce the class of foldable surfaces : smooth toric surfaces whose…
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…