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

preprint2016arXivOpen access

Abstract

Let Y be the variety of (skew) symmetric nxn-matrices of rank less than or equal to 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.

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