English

Derived categories of coherent sheaves

Algebraic Geometry 2009-11-24 v1 Category Theory

Abstract

We show how derived categories build bridges across the current mathematical mainstream, linking geometric and algebraic, commutative and noncommutative, local and global banks. Arches in these bridges are pieces of semiorthogonal decompositions of triangulated categories. To appear in the Proceedings of the ICM 2002 in Beijing.

Keywords

Cite

@article{arxiv.math/0206295,
  title  = {Derived categories of coherent sheaves},
  author = {Alexei Bondal and Dmitri Orlov},
  journal= {arXiv preprint arXiv:math/0206295},
  year   = {2009}
}

Comments

ICM talk, 12 pp., LaTeX

R2 v1 2026-07-22T16:46:23.206Z