Notes on Perverse Sheaves and Intersection

Unless specified otherwise, by “manifolds” and “varieties” we shall always mean, respectively, complex manifolds and complex algebraic varieties. Consequently, “dimension” (of a manifold or variety) always refers to the complex dimension. We also fix, once and for all, a commutative Noetherian ring k of finite global dimension as our ring of “coefficients”; the reader is welcome to take k = Z,Q,C,Fq, and so on. Unless specified otherwise, by “sheaves” and “complexes”, we shall always mean sheaves of k-modules and complexes of such sheaves, respectively.