Parabolic semi-orthogonal decompositions and Kummer flat invariants of log schemes
| Autor: | Scherotzke, Sarah, Sibilla, Nicolò, Talpo, Mattia |
|---|---|
| Rok vydání: | 2018 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: v3: implemented referee's suggestions. Final version, to appear in Documenta Mathematica |
| Databáze: | arXiv |
| Externí odkaz: |
|