Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Canonaco, Alberto"'
This paper surveys some recent results, concerning the intrinsicness of natural subcategories of weakly approximable triangulated subcategories. We also review the results about uniqueness of enhancements of triangulated categories, with the aim of s
Externí odkaz:
http://arxiv.org/abs/2407.05946
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 $A_\infty$ categories with respect to the corresponding classes of quasi-equivalences
Externí odkaz:
http://arxiv.org/abs/2404.06610
In this article we prove that all the inclusions between the 'classical' and naturally defined full triangulated subcategories of a weakly approximable triangulated category are intrinsic (in one case under a technical condition). This extends all th
Externí odkaz:
http://arxiv.org/abs/2402.04605
We prove that the derived categories of abelian categories have unique enhancements -- all of them, the unbounded, bounded, bounded above and bounded below derived categories. The unseparated and left completed derived categories of a Grothendieck ab
Externí odkaz:
http://arxiv.org/abs/2101.04404
Publikováno v:
Doc. Math. 24 (2019), 2463-2492
We prove that the localizations of the categories of dg categories, of cohomologically unital and strictly unital $A_\infty$ categories with respect to the corresponding classes of quasi-equivalences are all equivalent. Moreover we show that the last
Externí odkaz:
http://arxiv.org/abs/1811.07830
Autor:
Canonaco, Alberto, Stellari, Paolo
Publikováno v:
J. Geom. Phys. 122 (2017), 28-52
This paper surveys the recent advances concerning the relations between triangulated (or derived) categories and their dg enhancements. We explain when some interesting triangulated categories arising in algebraic geometry have a unique dg enhancemen
Externí odkaz:
http://arxiv.org/abs/1605.00490
Autor:
Canonaco, Alberto, Stellari, Paolo
Publikováno v:
J. Eur. Math. Soc. 20 (2018), 2607-2641
We prove that the derived category of a Grothendieck abelian category has a unique dg enhancement. Under some additional assumptions, we show that the same result holds true for its subcategory of compact objects. As a consequence, we deduce that the
Externí odkaz:
http://arxiv.org/abs/1507.05509
Autor:
Canonaco, Alberto, Stellari, Paolo
Publikováno v:
Adv. Math. 277 (2015), 100-123
We provide a simple proof of the existence of internal Homs in the localization of the category of dg categories with respect to all quasi-equivalences and of some of their main properties such as the so-called derived Morita theory. This was origina
Externí odkaz:
http://arxiv.org/abs/1312.5619
Autor:
Canonaco, Alberto, Stellari, Paolo
This paper surveys some recent results about Fourier--Mukai functors. In particular, given an exact functor between the bounded derived categories of coherent sheaves on two smooth projective varieties, we deal with the question whether this functor
Externí odkaz:
http://arxiv.org/abs/1109.3083