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LECTURES ON DERIVED AND TRIANGULATED CATEGORIES [PDF]
, 2008 Lecture notes. To appear in the proceedings volume of the "International Workshop on Noncommutative Geometry", IPM, Tehran ...
Noohi, Behrang
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Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities [PDF]
, 2009 26 pp ...
A Beilinson +15 more
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Recollements for derived categories of enriched functors and triangulated categories of motives [PDF]
Journal of Algebra, 2022 We investigate certain categorical aspects of Voevodsky's triangulated categories of motives. For this, various recollements for Grothendieck categories of enriched functors and their derived categories are established. In order to extend these recollements further with respect to Serre's localization, the concept of the (strict) Voevodsky property for
Grigory Garkusha, Darren Jones
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Homological Bondal-Orlov localization conjecture for rational singularities
Forum of Mathematics, Sigma, 2023 Given a resolution of rational singularities $\pi \colon {\tilde {X}} \to X$ over a field of characteristic zero, we use a Hodge-theoretic argument to prove that the image of the functor ${\mathbf {R}}\pi _*\colon {\mathbf {D}}^{\mathrm {b}}({\
Mirko Mauri, Evgeny Shinder
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Journal of High Energy Physics, 2022 We concentrate on a treatment of a Higgs-Coulomb duality as an absence of manifest phase transition between ordered and disordered phases of 2d N $$ \mathcal{N} $$ = (2, 2) theories.
Dmitry Galakhov
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Ethiopian Journal of the Social Sciences and Humanities, 2020 The study is about international kinship care arrangements in Ethiopia, focusing on Ethiopian children who applied for an Australian Orphan Relative Visa. A qualitative case study research method was used. Study participants
Asnakech Tesfaye, Ashenafi Hagos
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How to glue derived categories
Bulletin of Mathematical Sciences, 2018 We give an overview of existing enhancement techniques for derived and trianguated categories based on the notion of a stable model category, and show how it can be applied to the problem of gluing triangulated categories.
D. Kaledin
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Pacific Journal of Mathematics, 2023 Let $X$ be a smooth projective variety over $\mathbb{C}$ with big (anti-)canonical bundle. It is known that in this situation the Balmer spectrum of the tensor triangulated category of perfect complexes $Perf(X)$ of $X$ equipped with the derived tensor product $\otimes_{X}^{\mathbb{L}}$ recovers the space $X$.
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Contractible stability spaces and faithful braid group actions [PDF]
, 2018 We prove that any `finite-type' component of a stability space of a triangulated category is contractible. The motivating example of such a component is the stability space of the Calabi--Yau-$N$ category $\mathcal{D}(\Gamma_N Q)$ associated to an ADE ...
Qiu, Yu, Woolf, Jon
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Spherical subcategories in representation theory [PDF]
, 2018 We introduce a new invariant for triangulated categories: the poset of spherical subcategories ordered by inclusion. This yields several numerical invariants, like the cardinality and the height of the poset.
Hochenegger, Andreas +2 more
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