3 papers
math.DG2025
Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation
Rémi Delloque
We investigate the behaviour of local perturbations of a wide class of geometric PDEs on holomorphic Hermitian vector bundles over a compact complex manifold. Our main goal is to s…
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…
math.DG2025
Continuity of HYM connections with respect to metric variations
Rémi Delloque
We investigate the set of (real Dolbeault classes of) balanced metrics on a balanced manifold with respect to which a torsion-free coherent sheaf on is s…