NC-smooth thickenings and Jacobians
Algebraic Geometry
2025-05-08 v1
Abstract
We prove that a bounded complex of coherent sheaves on an abelian variety A, whose Fourier-Mukai transform has support of dimension at most 1, extends to a perfect complex on the standard NC-smooth thickening of A and on the deformation quantization of any constant Poisson bracket on A. We discuss a related conjectural characterization of Jacobians in terms of NC-smooth thickenings.
Cite
@article{arxiv.2505.04023,
title = {NC-smooth thickenings and Jacobians},
author = {Alexander Polishchuk},
journal= {arXiv preprint arXiv:2505.04023},
year = {2025}
}
Comments
15 pages