Geodesic
Parabolic Semi-Orthogonal Decompositions and Kummer Flat Invariants of Log Schemes
Documenta mathematica, Tome 25 (2020), pp. 955-1009.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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 Nizioł. Our techniques allow us to generalize Hagihara and Nizioł's results to a much larger class of invariants in addition to K-theory, and also to extend them to more general logarithmic stacks.
Classification : 14A21, 14F08, 19E08
Keywords: logarithmic geometry, semi-orthogonal decompositions, K-theory 
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     author = {Scherotzke, Sarah and Sibilla, Nicol\`o and Talpo, Mattia},
     title = {Parabolic {Semi-Orthogonal} {Decompositions} and {Kummer} {Flat} {Invariants} of {Log} {Schemes}},
     journal = {Documenta mathematica},
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Scherotzke, Sarah; Sibilla, Nicolò; Talpo, Mattia. Parabolic Semi-Orthogonal Decompositions and Kummer Flat Invariants of Log Schemes. Documenta mathematica, Tome 25 (2020), pp. 955-1009. http://geodesic.mathdoc.fr/item/DOCMA_2020__25__a39/