Moduli of objects in dg-categories

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WebModuli of objects in dg-categories. math. AG/0503269 Additional Information Max Lieblich Affiliation: Department of Mathematics, Brown University, Box 1917, Providence, Rhode Island 02912 Address at time of publication: Department of Mathematics, Princeton University, Fine Hall ... WebThe purpose of this work is to prove the existence of an algebraic moduli classifying objects in a given triangulated category. To any dg-category T (over some base ring k), we define a D -stack MT in the sense of [HAGII], classifying certain T op -dg-modules. When T is saturated, MT classifies compact objects in the triangulated category [T] associated to …

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Webtheory for dg categories [146]. In their joint work [147], To¨en and Vaqui´e have applied this to the construction of moduli stacks of objects in dg categories, and notably in … halloween books for 4 year old boy

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Webthe behavior of semi-orthogonal decompositions of dg categories under this functor. We show that when a dg category, C has a semi-orthogonal decom-position, H 0(C) =;the moduli space of objects in C can be expressed as a certain pullback of stacks involving the moduli spaces of objects in C 0 and C 1. Web14 mrt. 2005 · In this paper we show that every object in the dg-category of relative singularities Sing (B, f) associated to a pair (B, f), where B is a ring and f ∈ B^n , is … WebIn object oriented programming languages, the data itself is insulated in objects what hide this data, protecting it from direct external manipulation. The task associated with these … burc 20 settembre

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WebTo any dg-category $T$ (over some base ring $k$), we define a $D^{-}$-stack $\mathcal{M}_{T}$ in the sense of \cite{hagII}, classifying certain $T^{op}$-dg-modules. … WebA dg-category is a generalization of a linear category in the sense that it consists of a set of objects together with complexes of morphisms between two objects, and composition maps preserving the linear and differential structures. burca englishWebinvariant in any way. For example: let W: B→ Cbe a weak equivalence of dg-categories, we then have a natural map hom(F,G) → hom(WF,WG) which, in general, is not a quasi … halloween books for 3 year olds

"Web8 okt. 2024 · Transitive relations. A transitive relation is a semicategory enriched on truth values, or a semicategory C C where there is at most one morphism from every object a … " - Moduli of objects in dg-categories

Moduli of objects in dg-categories

http://www.numdam.org/item/10.1016/j.ansens.2007.05.001.pdf WebThe purpose of this work is to prove the existence of an algebraic moduli classifying objects in a given triangulated category. To any dg-category T (over some base ring k), …

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Web1 mei 2007 · The purpose of this work is to prove the existence of an algebraic moduli classifying objects in a given triangulated category.To any dg-category T (over some base ring k), we define a D−-stack... Webcontor DGCat as an (1;1)-category, we only consider natural transformations that are isomorphisms. However, one can recover all natural transformations as follows. Namely, …

Web1 mei 2007 · As any object in T op -Mod is fibrant, Int (T op -Mod) is simply the full sub-C (k)-enriched category of T op -Mod consisting of cofibrant objects, and we will denote it … Webtheory for dg categories [146]. In their joint work [147], To¨en and Vaqui´e have applied this to the construction of moduli stacks of objects in dg categories, and notably in categories of perfect complexes arising in geometry and representation theory. Thanks to [146], [82] and to recent work by Tamarkin [140], we are perhaps getting

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WebModuli of objects in dg-categories. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 40 (2007) no. 3, pp. 387-444. [1] Anel M ., Toën B ., Dénombrabilité des …

Web1 jul. 2024 · The underlying 1-category, with presentable dg categories as objects and continuous dg functors as 1-morphisms, is denoted { {\text {DGCat}}}_ {\text {cont}}. We denote by { {\text {Fun}}} the relative Hom adjoint to tensor product. 1 The unit with respect to the tensor product is the dg category {\text {Vect}}_ {k} of dg vector spaces. halloween books for kids 6-8WebThese theorems describe formal deformation theory of objects in derived categories. Our formal moduli spaces are in general ”non-commutative DG schemes”. In contrast, in the … halloween books for 2nd gradersWeb14 mrt. 2005 · Moduli of objects in dg-categories. B. Toen, M. Vaquie. To any dg-category (over some base ring ), we define a -stack in the sense of \cite {hagII}, classifying certain … burcal apartments burbankWeb– The purpose of this work is to prove the existence of an algebraic moduli classifying objects in a given triangulated category. To any dg-category T (over some base ring k), … burcak pronunciationWeba gluing statement, providing a way to glue objects in dg-categories in a situation where it is not possible to glue objects in derived categories. To ﬁnish I will present the notion of … burcalowWeb4 nov. 2024 · Request PDF On the structure of dg-categories of relative singularities In this paper we show that every object in the dg-category of relative singularities … halloween books by black authorsWebThe characteristic subsequent processing steps on digital objects are regarded as instances of D3 Formal Derivation. Close This class comprises events that result in the … halloween books for 3rd graders