Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Alonso, Leovigildo"'
A full triangulated subcategory $\mathsf{C} \subset \mathsf{T}$ of triangulated category $\mathsf{T}$ is colocalizing if it is stable for products. If, further, $\mathsf{T}$ is monoidal and closed, i.e. $(\mathsf{T}, \otimes)$ is tensor-triangulated
Externí odkaz:
http://arxiv.org/abs/2405.10383
Publikováno v:
Math. Z. 304 (2023), no. 3, Paper No. 42
Let $f \colon X \to Y$ be a morphism of concentrated schemes. We characterize $f$-perfect complexes $\mathcal{E}$ as those such that the functor $\mathcal{E} \otimes^{\mathbf{L}}_X \mathbf{L} f^*-$ preserves bounded complexes. We prove, as a conseque
Externí odkaz:
http://arxiv.org/abs/2112.09680
Publikováno v:
Appl. Categ. Structures 31 (2023), no. 6, Paper No. 48, 29 pp
We show that the unbounded derived category of a Grothendieck category with enough projective objects is the base category of a derivator whose category of diagrams is the full 2-category of small categories. With this structure, we give a descriptio
Externí odkaz:
http://arxiv.org/abs/2111.05918
Publikováno v:
Indiana Univ. Math. J. 70 (2021), no. 4, 1471-1504
We show that, for a pseudo-proper smooth noetherian formal scheme $\mathfrak{X}$ over a positive characteristic $p$ field, its truncated De Rham complex up to the characteristic $p$ is decomposable. Moreover, if the dimension of $\mathfrak{X}$ is exa
Externí odkaz:
http://arxiv.org/abs/1904.03156
Publikováno v:
J. Pure Appl. Algebra 222 (2018), no. 4, pp. 828--845
Let $\mathbf{X}$ be an Adams geometric stack. We show that $D(A_{qc}(\mathbf{X}))$, its derived category of quasi-coherent sheaves, satisfies the axioms of a stable homotopy category defined by Hovey, Palmieri and Strickland. Moreover we show how thi
Externí odkaz:
http://arxiv.org/abs/1604.06018
Publikováno v:
Expo. Math., 33 (2015) pp. 452-501
A geometric stack is a quasi-compact and semi-separated algebraic stack. We prove that the quasi-coherent sheaves on the small flat topology, Cartesian presheaves on the underlying category, and comodules over a Hopf algebroid associated to a present
Externí odkaz:
http://arxiv.org/abs/1304.2520
Publikováno v:
Appl. Categ. Structures 19 (2011), no. 6, 865-877
In this paper, we prove that for a noetherian formal scheme X, its derived category of sheaves of modules with quasi-coherent torsion homologies D_qct(X) is generated by a single compact object. In an appendix we prove that the category of compact ob
Externí odkaz:
http://arxiv.org/abs/0905.2063
Publikováno v:
Adv. Math. 218 (2008), no. 4, pp.1224-1252
We prove in this paper that for a quasi-compact and semi-separated (non necessarily noetherian) scheme X, the derived category of quasi-coherent sheaves over X, D(A_qc(X)), is a stable homotopy category in the sense of Hovey, Palmieri and Strickland,
Externí odkaz:
http://arxiv.org/abs/0706.0493
Publikováno v:
J. Algebra 324 (2010), no. 3, pp. 313-346
We classify complactly generated t-structures on the derived category of modules over a commutative Noetherian ring R in terms of decreasing filtrations by supports on Spec(R). A decreasing filtration by supports \phi : Z -> Spec(R) satisfies the wea
Externí odkaz:
http://arxiv.org/abs/0706.0499
We continue our study on infinitesimal lifting properties of maps between locally noetherian formal schemes started in math.AG/0604241. In this paper, we focus on some properties which arise specifically in the formal context. In this vein, we make a
Externí odkaz:
http://arxiv.org/abs/math/0605115