ABSTRACT: The categories of Koszul modules over the exterior algebra and the corresponding category over the polynomial algebra are equivalent under Koszul duality. We apply methods of finite-dimensional algebras to the study of locally free sheaves on projective space. In particular, we find that relative right almost split sequences exist both in the category of sheaves and in the category of locally free sheaves.

For further information visit the Seminar web site at http://www.northeastern.edu/martsinkovsky/p/rtrt.html  or contact Alex Martsinkovsky <alexmart@neu.edu>