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 Niziol. Our techniques allow us to generalize Hagihara and Niziol's results to a much larger class of invariants in addition to K-theory, and also to extend them to more general logarithmic stacks.
PARABOLIC SEMI-ORTHOGONAL DECOMPOSITIONS AND KUMMER FLAT INVARIANTS OF LOG SCHEMES
Talpo, M
2020-01-01
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 Niziol. Our techniques allow us to generalize Hagihara and Niziol's results to a much larger class of invariants in addition to K-theory, and also to extend them to more general logarithmic stacks.File in questo prodotto:
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