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Derived Functor Cohomology groups with Yoneda Product
Hafiz Syed Husain,Mariam Sultana 한국수학교육학회 2021 純粹 및 應用數學 Vol.28 No.2
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.