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math.DG2022
Special representatives of complexified Kähler classes
Carlo Scarpa, Jacopo Stoppa
Motivated by constructions appearing in mirror symmetry, we study special representatives of complexified Kähler classes, which extend the notions of constant scalar curvature and…
math.DG2022
Scalar curvature and deformations of complex structures
Carlo Scarpa
We study a system of equations on a compact complex manifold, that couples the scalar curvature of a Kaehler metric with a spectral function of a first-order deformation of the com…