Showing math.AGShow all
3 papers · 1 filter
math.AG2025
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…
math.AG2025
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 whos…
math.AG2025
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…