arXiv Analytics

Sign in

arXiv:math/0206295 [math.AG]AbstractReferencesReviewsResources

Derived categories of coherent sheaves

Alexei Bondal, Dmitri Orlov

Published 2002-06-27Version 1

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.

Comments: ICM talk, 12 pp., LaTeX
Journal: Proceedings of the ICM, Vol. II (Beijing, 2002), 47--56
Categories: math.AG, math.CT
Subjects: 18E30, 14F05
Related articles: Most relevant | Search more
arXiv:1102.2063 [math.AG] (Published 2011-02-10)
Hermitian structures on the derived category of coherent sheaves
arXiv:math/0609561 [math.AG] (Published 2006-09-20)
Geometric collections and Castelnuovo-Mumford Regularity
arXiv:0811.3854 [math.AG] (Published 2008-11-24, updated 2010-03-23)
The Horrocks correspondence for coherent sheaves on projective spaces