Zobrazeno 1 - 10
of 541
pro vyhledávání: '"P. Kalck"'
Autor:
Huber, Annette, Kalck, Martin
We apply the structure theory of finite dimensional algebras in order to deduce dimension formulas for spaces of period numbers, i.e., complex numbers defined by integrals of algebraic nature. We get a complete and conceptually clear answer in the ca
Externí odkaz:
http://arxiv.org/abs/2405.21053
We introduce the notion of composition series of triangulated categories. Their lengths yield invariants for these categories. We then focus on composition series of derived categories of certain projective varieties and finite dimensional algebras.
Externí odkaz:
http://arxiv.org/abs/2404.07583
We show that odd-dimensional projective varieties with tilting objects and only ADE-hypersurface singularities are nodal, i.e. they only have $A_1$-singularities. This is a very special case of more general obstructions to the existence of semiorthog
Externí odkaz:
http://arxiv.org/abs/2404.07816
Paquette and Y{\i}ld{\i}r{\i}m recently introduced cluster-type categories for completed infinity-gons, which are discs with an infinite closed set of marked points on their boundary. They classify (weak) cluster-tilting subcategories, which turn out
Externí odkaz:
http://arxiv.org/abs/2401.08378
Autor:
Kalck, Martin
We observe that there exists an associative finite dimensional $\mathbb{C}$-algebra $A$ of finite global dimension, such that the bounded derived category $D^b(A)$ of finite dimensional $A$-modules admits an admissible subcategory $\mathcal{P}$ with
Externí odkaz:
http://arxiv.org/abs/2304.08417
Autor:
Kalck, Martin
We give a complete classification of differential $\mathbb{Z}$-graded homotopy categories of matrix factorizations of isolated singularities up to quasi-equivalence. This answers a question of Bernhard Keller and Evgeny Shinder. More generally, we sh
Externí odkaz:
http://arxiv.org/abs/2108.03292
Autor:
Kalck, Martin
Publikováno v:
Advances in Mathematics, Volume 390 (2021), 107913
We construct a triangle equivalence between the singularity categories of two isolated cyclic quotient singularities of Krull dimensions two and three, respectively. This is the first example of a singular equivalence involving connected commutative
Externí odkaz:
http://arxiv.org/abs/2103.06584
Autor:
Kalck, Martin, Yang, Dong
We build foundations of an approach to study canonical forms of $2$-Calabi--Yau triangulated categories with cluster-tilting objects, using dg algebras and relative singularity categories. This is motivated by cluster theory, singularity categories,
Externí odkaz:
http://arxiv.org/abs/2006.09733
Autor:
Xavier Kalck
Publikováno v:
Transatlantica, Vol 2 (2023)
This article begins by briefly examining some of the history of reading in terms of the critical relationship between mind and body, with a view to moving beyond any sense of a simple opposition between the two. Going back (shortly) to the roots of w
Externí odkaz:
https://doaj.org/article/f2d9dbf5d55a44d791d02138f5fed91b
We investigate necessary conditions for Gorenstein projective varieties to admit semiorthogonal decompositions introduced by Kawamata, with main emphasis on threefolds with isolated compound $A_n$ singularities. We introduce obstructions coming from
Externí odkaz:
http://arxiv.org/abs/1910.09531