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20072020
most citedCompact Corigid Objects in Triangulated Categories and Co-t-structures

4 citations · 5 across the 4 of their papers we have counts for

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math.RT2020

Addendum and Erratum: Mapping cones for morphisms involving a band complex in the bounded derived category of a gentle algebra

Ilke Canakci, David Pauksztello, Sibylle Schroll

In this note we correct two oversights in [Mapping cones in the bounded derived category of a gentle algebra, J. Algebra 530 (2019), 163--194, also arXiv:1609.09688] which only occ…

math.RT2018

Simple-minded systems and reduction for negative Calabi-Yau triangulated categories

Raquel Coelho Simoes, David Pauksztello

We develop the basic properties of -simple-minded systems in -Calabi-Yau triangulated categories for . The main result is a reduction technique for negative Cala…

math.RT2017

Contractibility of the stability manifold for silting-discrete algebras

David Pauksztello, Manuel Saorín, Alexandra Zvonareva

We show that any bounded t-structure in the bounded derived category of a silting-discrete algebra is algebraic, i.e. has a length heart with finitely many simple objects. As a cor…

math.RT2016

The Ziegler spectrum for derived-discrete algebras

Kristin Krogh Arnesen, Rosanna Laking, David Pauksztello +1

Let be a derived-discrete algebra. We show that the Krull-Gabriel dimension of the homotopy category of projective -modules, and therefore the Cantor-Bendixson rank of its Z…

math.RT2012

Averaging t-structures and extension closure of aisles

Nathan Broomhead, David Pauksztello, David Ploog

We ask when a finite set of t-structures in a triangulated category can be `averaged' into one t-structure or, equivalently, when the extension closure of a finite set of aisles is…