activity
20092015
most citedEquivalences for noncommutative projective spaces

7 citations · 16 across the 4 of their papers we have counts for

collaborators

6 papers

math.RT2015

Realisation functors in tilting theory

Chrysostomos Psaroudakis, Jorge Vitória

Derived equivalences and t-structures are closely related. We use realisation functors associated to t-structures in triangulated categories to establish a derived Morita theory fo…

math.RT2013★ 1 cited

Recollements of Module Categories

Chrysostomos Psaroudakis, Jorge Vitoria

We establish a correspondence between recollements of abelian categories up to equivalence and certain TTF-triples. For a module category we show, moreover, a correspondence with i…

math.RA2012

From ring epimorphisms to universal localisations

Frederik Marks, Jorge Vitoria

For a fixed ring, different classes of ring epimorphisms and localisation maps are compared. In fact, we provide sufficient conditions for a ring epimorphism to be a universal loca…

math.RT2012★ 3 cited

Glueing silting objects

Qunhua Liu, Jorge Vitoria, Dong Yang

Recent results by Keller and Nicol{á}s and by Koenig and Yang have shown bijective correspondences between suitable classes of t-structures and co-t-structures with certain objects…

math.RA2010★ 7 cited

Equivalences for noncommutative projective spaces

Jorge Vitoria

Following Artin and Zhang's formulation of noncommutative projective geometry, we classify up a family of skew polynomial quadratic algebras up to graded Morita equivalence and the…

math.RT2009★ 5 cited

Perverse coherent t-structures through torsion theories

Jorge Vitoria

Bezrukavnikov (later together with Arinkin) recovered the work of Deligne defining perverse -structures for the derived category of coherent sheaves on a projective variety. In…