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arXiv · 1904.00115

Derived Functor Cohomology Groups with Yoneda Product

Hafiz Syed Husain·Mariam Sultana
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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.

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Hafiz Syed Husain, Mariam Sultana. 2019-03-29. Derived Functor Cohomology Groups with Yoneda Product. https://arxiv.org/abs/1904.00115

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