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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.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…