Comparing the commutative and non-commutative resolutions for determinantal varieties of skew symmetric and symmetric matrices

Jul 20 2017

Publication date:
7 September 2017
Source:Advances in Mathematics, Volume 317
Author(s): Špela Špenko, Michel Van den Bergh
Let Y be the variety of (skew) symmetric n × n -matrices of rank ≤r. In paper we construct a full faithful embedding between the derived category of a non-commutative resolution of Y, constructed earlier by the authors, and the derived category of the classical Springer resolution of Y.