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math.DG2026
The derived category of a generalized complex torus
Patrick Antweiler, Vicente Cortés, Julian Holstein +2
For any translation invariant generalized complex structure J on a torus we construct the derived category D(J) generalizing the derived category of coherent sheaves on a complex t…
math.DG2026
Deformations of generalized complex structures on -flat transitive Courant algebroids
Vicente Cortés, Paula Naomi Pilatus
We extend Gualtieri's deformation theorem for generalized complex structures on exact Courant algebroids to the more general class of -flat transitive Courant algebroi…
math.DG2026
Deformation theory of complex structures via Hamilton-Nash-Moser theory
Vicente Cortés, Paula Naomi Pilatus
We revisit the classical proof by Kuranishi on the existence of a locally complete family of complex deformations on a compact complex manifold using Hamilton's Nash-Moser implicit…