Ampleness of two-sided tilting complexes

H Minamoto - International Mathematics Research Notices, 2012 - ieeexplore.ieee.org
From the view point of noncommutative algebraic geometry (NCAG), a two-sided tilting
complex is an analog of a line bundle. In this paper, we define the notion of ampleness for …

Resolutions of mesh algebras: periodicity and Calabi–Yau dimensions

A Dugas - Mathematische Zeitschrift, 2012 - Springer
Abstract A triangulated category (T, Σ) is said to be Calabi–Yau of dimension d if Σ d is a
Serre functor. We determine which stable module categories of self-injective algebras Λ of …

t-structures via recollements for piecewise hereditary algebras

Q Liu, J Vitória - Journal of Pure and Applied Algebra, 2012 - Elsevier
Following the work of Beilinson, Bernstein and Deligne, we study restriction and induction of
t-structures on triangulated categories with respect to recollements. For derived categories of …

Etale twists in noncommutative algebraic geometry and the twisted Brauer space

B Antieau - arXiv preprint arXiv:1211.6161, 2012 - arxiv.org
This paper studies etale twists of derived categories of schemes and associative algebras. A
general method, based on a new construction called the twisted Brauer space, is given for …