Hermitian structures on the derived category of coherent sheaves

Details Hermitian structures on the derived category of coherent sheaves Hermitian structures on the derived category of coherent sheaves

2011-02-10

arxiv.org/abs/1102.2063v1

Mathematics

Algebraic Geometry

Scientific paper

The main objective of the present paper is to set up the theoretical basis and the language needed to deal with the problem of direct images of hermitian vector bundles for projective non-necessarily smooth morphisms. To this end, we first define hermitian structures on the objects of the bounded derived category of coherent sheaves on a smooth complex variety. Secondly we extend the theory of Bott-Chern classes to these hermitian structures. Finally we introduce the category $\oSm_{\ast/\CC}$ whose morphisms are projective morphisms with a hermitian structure on the relative tangent complex.

Affiliated with

Also associated with

No associations

Rating

Hermitian structures on the derived category of coherent sheaves does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hermitian structures on the derived category of coherent sheaves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hermitian structures on the derived category of coherent sheaves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-694257