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arXiv · 1803.06398

Parabolic semi-orthogonal decompositions and Kummer flat invariants of log schemes

Sarah Scherotzke·Nicolò Sibilla·Mattia Talpo
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Abstract

We construct semi-orthogonal decompositions on triangulated categories of parabolic sheaves on certain kinds of logarithmic schemes. This provides a categorification of the decomposition theorems in Kummer flat K-theory due to Hagihara and Nizio{\l}. Our techniques allow us to generalize Hagihara and Nizio{\l}'s results to a much larger class of invariants in addition to K-theory, and also to extend them to more general logarithmic stacks.

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Sarah Scherotzke, Nicolò Sibilla, Mattia Talpo. 2018-03-16. Parabolic semi-orthogonal decompositions and Kummer flat invariants of log schemes. https://arxiv.org/abs/1803.06398

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