Derived Functor Cohomology Groups with Yoneda Product
Algebraic Geometry
2019-04-02 v1
Abstract
This work presents an exposition of both the internal structure of derived category of an abelian category D*(A) and its contribution in solving problems, particularly in algebraic geometry. Calculation of some morphisms will be presented between objects in D*(A) as elements in appropriate cohomology groups along with their compositions with the help of Yoneda construction under the assumption that the homological dimension of D*(A) is greater than or equal to 2. These computational settings will then be considered under sheaf cohomological context with a particular case from projective geometry.
Keywords
Cite
@article{arxiv.1904.00115,
title = {Derived Functor Cohomology Groups with Yoneda Product},
author = {Hafiz Syed Husain and Mariam Sultana},
journal= {arXiv preprint arXiv:1904.00115},
year = {2019}
}