1 citations · 1 across the 1 of their papers we have counts for
4 papers
On the profinite homotopy type of log schemes
David Carchedi, Sarah Scherotzke, Nicolò Sibilla +1
We complete the program, initiated in [6], to compare the many different possible definitions of the underlying homotopy type of a log scheme. We show that, up to profinite complet…
Gluing semi-orthogonal decompositions
Sarah Scherotzke, Nicolò Sibilla, Mattia Talpo
We introduce preordered semi-orthogonal decompositions (psod-s) of dg-categories. We show that homotopy limits of dg-categories equipped with compatible psod-s carry a natural psod…
Parabolic semi-orthogonal decompositions and Kummer flat invariants of log schemes
Sarah Scherotzke, Nicolò Sibilla, Mattia Talpo
We construct semi-orthogonal decompositions on triangulated categories of parabolic sheaves on certain kinds of logarithmic schemes. This provides a categorification of the decompo…
Holonomic and perverse logarithmic D-modules
Clemens Koppensteiner, Mattia Talpo
We introduce the notion of a holonomic D-module on a smooth (idealized) logarithmic scheme and show that Verdier duality can be extended to this context. In contrast to the classic…