Zobrazeno 1 - 10
of 720
pro vyhledávání: '"Stovicek A"'
Autor:
Šťovíček, Pavel, Świderski, Grzegorz
We consider positive Jacobi matrices $J$ with compact inverses and consequently with purely discrete spectra. A number of properties of the corresponding sequence of orthogonal polynomials is studied including the convergence of their zeros, the vagu
Externí odkaz:
http://arxiv.org/abs/2409.19644
Autor:
Dalezios, Georgios, Stovicek, Jan
We study linear versions of Reedy categories in relation with finite dimensional algebras and abelian model structures. We prove that, for a linear Reedy category $\mathcal{C}$ over a field, the category of left $\mathcal{C}$--modules admits a highes
Externí odkaz:
http://arxiv.org/abs/2409.06823
Autor:
Šťovíček, Pavel
Publikováno v:
J. Math. Phys. 65, 023503 (2024)
A series of the form $\sum_{\ell=0}^{\infty}c(\kappa,\ell)\,M_{\kappa,\ell+1/2}(r_{0})W_{\kappa,\ell+1/2}(r)P_{\ell}(\cos(\gamma))$ is evaluated explicitly where $c(\kappa,\ell)$ are suitable complex coefficients, $M_{\kappa,\mu}$ and $W_{\kappa,\mu}
Externí odkaz:
http://arxiv.org/abs/2403.03749
Autor:
Positselski, Leonid, Stovicek, Jan
For any CDG-ring $B^\bullet=(B^*,d,h)$, we show that the homotopy category of graded-projective (left) CDG-modules over $B^\bullet$ is equivalent to the quotient category of the homotopy of graded-flat CDG-modules by its full triangulated subcategory
Externí odkaz:
http://arxiv.org/abs/2401.07021
Autor:
Positselski, Leonid, Stovicek, Jan
We show that every flat quasi-coherent sheaf on a quasi-compact quasi-separated scheme is a directed colimit of locally countably presentable flat quasi-coherent sheaves. More generally, the same assertion holds for any countably quasi-compact, count
Externí odkaz:
http://arxiv.org/abs/2212.09639
Autor:
Positselski, Leonid, Stovicek, Jan
Publikováno v:
Math. Zeitschrift 308 #1 (2024), article no.14, 70 pp
The concept of an abelian DG-category, introduced by the first-named author in arXiv:2110.08237, unites the notions of abelian categories and (curved) DG-modules in a common framework. In this paper we consider coderived and contraderived categories
Externí odkaz:
http://arxiv.org/abs/2210.08237
Autor:
Kopřiva, Jakub, Šťovíček, Jan
We study semiorthogonal decompositions of bounded derived categories of gentle algebras and how they are manifested in the geometric model of these categories as constructed by Opper, Plamondon and Schroll. We prove that there is a one-to-one corresp
Externí odkaz:
http://arxiv.org/abs/2209.14496
In the derived category of a commutative noetherian ring, we explicitly construct a silting object associated with each sp-filtration of the Zariski spectrum satisfying the "slice" condition. Our new construction is based on local cohomology and it a
Externí odkaz:
http://arxiv.org/abs/2207.01309
Autor:
Stovicek, Pavel
Assume that $\{a_{n};\,n\geq0\}$ is a sequence of positive numbers and $\sum a_{n}^{\,-1}<\infty$. Let $\alpha_{n}=ka_{n}$, $\beta_{n}=a_{n}+k^{2}a_{n-1}$ where $k\in(0,1)$ is a parameter, and let $\{P_{n}(x)\}$ be an orthonormal polynomial sequence
Externí odkaz:
http://arxiv.org/abs/2203.05350
Autor:
Positselski, Leonid, Stovicek, Jan
Publikováno v:
Algebras and Represent. Theory 27 (2024), #1, p.245-278
We define topologically semiperfect (complete, separated, right linear) topological rings and characterize them by equivalent conditions. We show that the endomorphism ring of a module, endowed with the finite topology, is topologically semiperfect i
Externí odkaz:
http://arxiv.org/abs/2201.03488