Derived categories of coherent sheaves

Details Derived categories of coherent sheaves Derived categories of coherent sheaves

2002-06-27

arxiv.org/abs/math/0206295v1

Proceedings of the ICM, Vol. II (Beijing, 2002), 47--56

Mathematics

Algebraic Geometry

ICM talk, 12 pp., LaTeX

Scientific paper

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.

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