Some derived equivalences between noncommutative schemes and algebras
Izuru Mori
Shizuoka University, Japan
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Abstract
It is interesting to find a (non-affine) smooth algebraic variety which is derived equivalent to a noncommutative algebra. A full strong exceptional sequence, a tilting generator, and McKay correspondence provide such examples. In this survey paper, we will show that similar derived equivalences exist between noncommutative schemes and noncommutative algebras.