Summary: Applications of Homological Algebra Introduction to Perverse Sheaves
Spring 2007 P. Achar
Problem Set 6
March 1, 2007
1. Let F·
and G·
be complexes of sheaves. Show that Hom(F·
, G·
) and F·
G·
(graded tensor product)
are well-defined complexes (that is, that d2
= 0). In class, we defined R Hom and L
as functors only
of the second variable: for a fixed F·
C-
(ShX), we have
R Hom(F·
, -) : D+
(ShX) D+

Source: Achar, Pramod - Department of Mathematics, Louisiana State University

Collections: Mathematics