Differential graded Koszul duality: An introductory survey
L Positselski - Bulletin of the London Mathematical Society, 2023 - Wiley Online Library
This is an overview on derived nonhomogeneous Koszul duality over a field, mostly based
on the author's memoir L. Positselski, Memoirs of the American Math. Society 212 (2011) …
on the author's memoir L. Positselski, Memoirs of the American Math. Society 212 (2011) …
Exact DG-categories and fully faithful triangulated inclusion functors
L Positselski - arXiv preprint arXiv:2110.08237, 2021 - arxiv.org
We construct an" almost involution" assigning a new DG-category to a given one, and use
this construction in order to recover, say, the abelian category of graded modules over the …
this construction in order to recover, say, the abelian category of graded modules over the …
Integrality of mirror maps and arithmetic homological mirror symmetry for Greene--Plesser mirrors
We prove theintegrality of Taylor coefficients of mirror maps' conjecture for Greene--Plesser
mirror pairs as a natural byproduct of an arithmetic refinement of homological mirror …
mirror pairs as a natural byproduct of an arithmetic refinement of homological mirror …
Philosophy of contraherent cosheaves
L Positselski - arXiv preprint arXiv:2311.14179, 2023 - arxiv.org
Contraherent cosheaves are module objects over algebraic varieties defined by gluing
using the colocalization functors. Contraherent cosheaves are designed to be used for …
using the colocalization functors. Contraherent cosheaves are designed to be used for …
Homological full-and-faithfulness of comodule inclusion and contramodule forgetful functors
L Positselski - arXiv preprint arXiv:2301.09561, 2023 - arxiv.org
In this paper we consider a conilpotent coalgebra $ C $ over a field $ k $. Let
$\Upsilon\colon C\textsf {-Comod}\longrightarrow C^*\textsf {-Mod} $ be the natural functor of …
$\Upsilon\colon C\textsf {-Comod}\longrightarrow C^*\textsf {-Mod} $ be the natural functor of …
[图书][B] Relative nonhomogeneous Koszul duality
L Positselski - 2021 - Springer
Relative Nonhomogeneous Koszul Duality Page 1 Relative Nonhomogeneous Koszul Duality
Leonid Positselski Frontiers in Mathematics Page 2 Page 3 Frontiers in Mathematics Advisory …
Leonid Positselski Frontiers in Mathematics Page 2 Page 3 Frontiers in Mathematics Advisory …
Producing" new" semi-orthogonal decompositions in arithmetic geometry
MV Bondarko - arXiv preprint arXiv:2203.07315, 2022 - arxiv.org
This paper is devoted to constructing" new" admissible subcategories and semi-orthogonal
decompositions of triangulated categories out of" old" ones. For two triangulated …
decompositions of triangulated categories out of" old" ones. For two triangulated …
Pre-weight structures, pseudo-identities and canonical derived equivalences
XW Chen - arXiv preprint arXiv:2311.08044, 2023 - arxiv.org
We introduce the notion of pre-weight structure on a triangulated category and study the
corresponding pseudo-identities. We propose the notion of canonical derived equivalence …
corresponding pseudo-identities. We propose the notion of canonical derived equivalence …
[PDF][PDF] From short exact sequences of abelian categories to short exact sequences of homotopy categories and derived categories
Y Wu, G Zhou - Electronic Research Archive, 2022 - aimspress.com
From short exact sequences of abelian categories to short exact sequences of Page 1 http://www.aimspress.com/journal/era
ERA, 30(2): 535–564. DOI: 10.3934/era.2022028 Received: 29 November 2021 Revised …
ERA, 30(2): 535–564. DOI: 10.3934/era.2022028 Received: 29 November 2021 Revised …