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

2015/11/23 by Špela Špenko, Michel Van den Bergh, Špenko, Špela +1
Mathematics · #13A50 #14L24 #16E35 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:13A50 #msc:14L24 #msc:16E35

paper · pdf · doi:10.48550/arxiv.1511.07290

16 pages Many typos corrected. Acknowledgement expanded

arxiv created 2016/05/15 · arxiv updated 2016/05/17

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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