Constructs large silting mutation in extriangulated categories admitting set-indexed (co)products and derives mutation theories for n-cosilting complexes over any ring plus infinite-dimensional n-(co)tilting modules over rings of finite global dimension.
Localization of ex- triangulated categories
3 Pith papers cite this work. Polarity classification is still indexing.
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Any order over a reduced separated finite type scheme over a char 0 field can be resolved by an Azumaya algebra over a smooth DM stack via a sequence of stacky blow-ups.
Any Farey triangle corresponds to a variant of the Colmez-Fontaine fundamental lemma, with the original lemma matching the triangle (1/0, 1/1, 0/1).
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Large silting mutation in extriangulated categories
Constructs large silting mutation in extriangulated categories admitting set-indexed (co)products and derives mutation theories for n-cosilting complexes over any ring plus infinite-dimensional n-(co)tilting modules over rings of finite global dimension.