Enhanced triangulated categories
WebAug 1, 2013 · Tilting bundles and the missing part on a weighted projective line of type ( 2, 2, n) Journal of Pure and Applied Algebra, Volume 219, Issue 7, 2015, pp. 2538-2558. This work is supported by Grant-in Aid for Young Scientists B ( 22740033) of the Japan Society for the Promotion of Science. WebMar 2, 2010 · The authors introduce a new class of finite dimensional algebras called extended canonical, and determine the shape of their derived categories. Extended canonical algebras arise from a canonical algebra Λ by onepoint extension or coextension by an indecomposable projective module. Our main results concern the case of negative …
Enhanced triangulated categories
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WebTriangulated categories arose almost simultaneously in topology (Puppe) and algebraic geometry (Verdier). They are used in many branches of pure mathematics. Passage … Web[Knu02a, Appendix B] had suggested considering Db(E) as a triangulated category enhanced with a category of ‘true triangles’, to develop a theory of determinant functors for such enhanced triangulated categories, and to show that any determi-nant functor det: E →P extends to det: Db(E) →P in an essentially unique way for E additive or ...
WebMay 27, 2024 · H V is a genuine 2-catego ry whose 1-morphisms categories are triangulated and Karoubi- complete. In particular, it recovers all the combinatorics of the additiv e setting. WebAug 22, 2024 · In past talks at this conference we have seen the definition of a triangulated category and some examples of familiar triangulated categories, including the homotopy category \(\mathscr {H}(R)\) and the derived category \(\mathscr {D}(R)\) of modules over some ring R.These categories are defined by applying certain constructions to the …
WebJun 18, 2024 · Enhanced ˝nite triangulated categories 743 Most triangulated categories appearing in the literature are born with an enhancement. This theorem is still interesting … WebAbstract. In this paper we give an example of a triangulated category, linear over a field of characteristic zero, which does not carry a DG-enhancement. The only previous …
WebJul 1, 2010 · Abstract. The paper contains general results on the uniqueness of a DG enhancement for triangulated categories. As a consequence we obtain such …
WebNov 15, 2024 · Toën [12] gave a construction of what he called derived Hall algebras for DG-enhanced triangulated categories satisfying certain finiteness conditions. Later, … 君住む街へWebIn section 8, we observe that triangulated orbit categories provide easily con structed examples of triangulated categories with the CalabiYau property. Fi - nally, in section … 君以外愛せない プリンWebIn this article, we investigate semi-orthogonal decompositions of the symmetric products of dg-enhanced triangulated categories. Given a semi-orthogonal decomposition $\mathcal{D}=\langle \mathcal ... bizひかりクラウド future clinic 21 ワープWebJun 18, 2024 · ENHANCED FINITE TRIANGULATED CATEGORIES - Volume 21 Issue 3. To save this article to your Kindle, first ensure [email protected] is added to … bizひかりWebOct 18, 2007 · In general, for any A ∞ -category A , we can construct the enhanced triangulated category T r(A ) by using Bondal-Kapranov-Kontsevich construction [7, … 君を愛する気はないと言った次期公爵様がなぜか溺愛してきます 16Webenhanced triangulated structure are ˘= I, where I is an invertible 3-bimodule whose inverse is stably isomorphic to e . (3)If is as above, any two enhancements of (T ;) are Morita equivalent. Most triangulated categories appearing in the literature are born with an en-hancement. This theorem is still interesting for nite triangulated ... bizひかりクラウドWebFeb 27, 1991 · 27 Feb 1991 - Mathematics of The Ussr-sbornik (IOP Publishing) - Vol. 70, Iss: 1, pp 93-107. Trace this paper. Cite. Abstract: A solution is given to the problem of … 君を愛する気はないと言った次期公爵様がなぜか溺愛してきます 17話 ネタバレ