Derived equivalences and Kodaira fibers
arXiv:1702.00229 · doi:10.1016/j.geomphys.2017.02.002
Abstract
We give necessary conditions for two (including non-reduced and multiple) Kodaira curves to be derived equivalent. We classify Fourier-Mukai partners of any reduced Kodaira curve. We prove that the derived category of singularities of any non-reduced and non-multiple Kodaira curve is idempotent complete.
23 pages