``Descent of coherent sheaves and complexes to geometric invariant theory quotients.''

In PDF or postscript (preprint).  Now on the arXiv at math.AG/0206297.

Gives a necessary and sufficient condition for an equivariant complex
of coherent sheaves to descend to a GIT quotient (up to quasi-isomorphism);
with applications to the derived category of the GIT quotient.