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Mathematics > Algebraic Geometry

Title: Additive invariants of logarithmic schemes

Abstract: We lift the decomposition theorems in logarithmic algebraic K-theory obtained by Hagihara and Nizio{\l} to a semi-orthogonal decomposition of the category of perfect complexes over the Kummer flat topos. As a byproduct, we extend Hagihara and Nizio{\l}'s results to a much wider class of log schemes and stacks. Further, we obtain uniform structure theorems which apply, in addition to algebraic K-theory, to all additive invariants of log schemes.
Comments: 44 pages, comments welcome!
Subjects: Algebraic Geometry (math.AG)
MSC classes: 14F05, 14C15, 19L10
Cite as: arXiv:1803.06398 [math.AG]
  (or arXiv:1803.06398v1 [math.AG] for this version)

Submission history

From: Mattia Talpo [view email]
[v1] Fri, 16 Mar 2018 21:05:40 GMT (46kb)