Geometric Knorrer periodicity for singularity categories

Evgeny Shinder (Sheffield)

Frank Adams 1,

Knorrer periodicity in its simplest form states that matrix factorizations of polynomials \(f\) and \(f+x^2+y^2\) form equivalent categories. I explain how general form of this result as well as a more complicated version for \(f\) and \(f+x^2\) come naturally from semiorthogonal decompositions of derived categories of coherent sheaves on schemes and stacks. I will also explain what happens when one compares e.g. \(f\) to \(f+x^3\).
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