ABSTRACT
This chapter discusses Grothendieck duality and Hermite-Jacobi formula for the finite or infinite dimensional complex analysis. It examines the kernel function of the classical Jacobi interpolation formula. The chapter starts by reformulating a result of Berenstein and Taylor on Jacobi interpolation formulas in terms of local cohomology. It presents a basic idea for studying the local cohomology class supported on the zero-dimensional variety. The chapter describes the theorems involved in the Grothendieck duality and Hermite-Jacobi formula.
