Semantic Scholar Open Access 2014 1 sitasi

Categorical Bockstein Sequences

L. Positselski

Abstrak

We construct the reduction of an exact category with a twist functor with respect to an element of its graded center in presence of an exact-conservative forgetful functor annihilating this central element. The construction uses matrix factorizations in a nontraditional way. We obtain the Bockstein long exact sequences for the Ext groups in the exact categories produced by reduction. Our motivation comes from the theory of Artin–Tate motives and motivic sheaves with finite coefficients, and our key techniques generalize those of Positselski (Mosc Math J 11(2):317–402, 2011. arXiv:1006.4343 [math.KT], Section 4).

Topik & Kata Kunci

Mathematics Computer Science

Penulis (1)

L. Positselski

Format Sitasi

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Positselski, L. (2014). Categorical Bockstein Sequences. https://doi.org/10.1007/s10485-018-9534-2

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Informasi Jurnal

Tahun Terbit: 2014
Bahasa: en
Total Sitasi: 1×
Sumber Database: Semantic Scholar
DOI: 10.1007/s10485-018-9534-2
Akses: Open Access ✓