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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
Polynomial degeneration and the Poisson geometry of truncated polynomials
Francis Bischoff, Aldo Witte
We develop a formalism for studying geometric structures that degenerate to polynomial order along a hypersurface . We then demonstrate it in the study of Poisson geom…