English

Derived equivalences and Kodaira fibers

Algebraic Geometry 2018-03-14 v1

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.

Keywords

Cite

@article{arxiv.1702.00229,
  title  = {Derived equivalences and Kodaira fibers},
  author = {Ana Cristina López Martín and Carlos Tejero Prieto},
  journal= {arXiv preprint arXiv:1702.00229},
  year   = {2018}
}

Comments

23 pages