Detecting rationality via derived categories
Detecting rationality via derived categories
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Alicia Lamarche, University of Utah
Online Talk听
Zoom link:听听
笔补蝉蝉肠辞诲别听谤别辩耻颈谤别诲
I will discuss forthcoming work with Matthew Ballard on using the derived category of coherent sheaves to detect the existence of rational points on a particular family of arithmetic toric Fano varieties.听More precisely, I will explain how we show that a member of this family of varieties is rational if and only if its bounded derived category of coherent sheaves admits a full 茅tale exceptional collection.
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