1 citations · 1 across the 2 of their papers we have counts for
7 papers
New examples of non-Fourier-Mukai exact functors via non-isomorphic octahedra
Alberto Canonaco, Mattia Ornaghi
We study a triangulated category that admits a full and strong exceptional sequence of three objects with one-dimensional Hom spaces. We show that the isomorphism clas…
Some properties of the A-nerve
Mattia Ornaghi
The aim of this paper is to prove that the A-nerve of two quasi-equivalent A-categories (linear over a commutative ring) are weak-equivalent in the Joyal mode…
A model structure on the category of A-categories with strict morphisms
Mattia Ornaghi
We prove that the category of (strictly unital) A-categories, linear over a commutative ring , with strict A-morphisms has a cofibrantly generated model struct…
A remark on fibrancy of ($\mbox{A$_{\infty}$Cat}$,$W^{\tiny\mbox{A}_{\infty}}_{\tiny\mbox{qe}}$)
Xiaofa Chen, Mattia Ornaghi
In this note we prove the existence, in the category of (strictly unital) Acategories, of the pullback of a (strictly unital) Afunctor, satisfying a particula…
Tensor product of A-categories
Mattia Ornaghi
In this paper we define the tensor product of two A-categories and two A-functors. This tensor product makes the category of A-categories symmetric…
Localizations of the categories of categories and internal Homs over a ring
Alberto Canonaco, Mattia Ornaghi, Paolo Stellari
We show that, over an arbitrary commutative ring, the localizations of the categories of dg categories, of cohomologically unital, of unital and of strictly unital categ…