Geodesic
Parabolic Semi-Orthogonal Decompositions and Kummer Flat Invariants of Log Schemes
Documenta mathematica, Tome 25 (2020), pp. 955-1009
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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.
DOI : 10.4171/dm/768
Classification : 14A21, 14F08, 19E08
Mots-clés : K-theory, logarithmic geometry, semi-orthogonal decompositions 
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     author = {Mattia Talpo and Sarah Scherotzke and Nicol\`o Sibilla},
     title = {Parabolic {Semi-Orthogonal} {Decompositions} and {Kummer} {Flat} {Invariants} of {Log} {Schemes}},
     journal = {Documenta mathematica},
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     year = {2020},
     volume = {25},
     doi = {10.4171/dm/768},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/768/}
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Mattia Talpo; Sarah Scherotzke; Nicolò Sibilla. Parabolic Semi-Orthogonal Decompositions and Kummer Flat Invariants of Log Schemes. Documenta mathematica, Tome 25 (2020), pp. 955-1009. doi: 10.4171/dm/768

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