10 citations · 36 across the 14 of their papers we have counts for
19 papers
Limits and colimits in silting theory with applications to the wall and chamber structure of an algebra
Rosanna Laking, Alexandra Zvonareva
In this paper we consider a family of nested t-structures given by silting objects and construct a silting object corresponding to the intersection of aisles of these t-structures…
The shift-homological spectrum and parametrising kernels of rank functions
Isaac Bird, Jordan Williamson, Alexandra Zvonareva
For any compactly generated triangulated category we introduce two topological spaces, the shift-spectrum and the shift-homological spectrum. We use them to parametrise a family of…
Derived equivalences of Brauer graph algebras
Alexandra Zvonareva
The aim of this short survey is to trace back the ingredients going into the derived equivalence classification of Brauer graph algebras and into the proof of the fact that these a…
A functorial approach to rank functions on triangulated categories
Teresa Conde, Mikhail Gorsky, Frederik Marks +1
We study rank functions on a triangulated category via its abelianisation . We prove that every rank function on can be i…
Lattices of t-structures and thick subcategories for discrete cluster categories
Sira Gratz, Alexandra Zvonareva
We classify t-structures and thick subcategories in discrete cluster categories of Dynkin type , and show that the set of all t-structures on $\mathca…
Lifting and restricting t-structures
Frederik Marks, Alexandra Zvonareva
We explore the interplay between t-structures in the bounded derived category of finitely presented modules and the unbounded derived category of all modules over a coherent ring $…
Derived equivalence classification of Brauer graph algebras
Sebastian Opper, Alexandra Zvonareva
We classify Brauer graph algebras up to derived equivalence by showing that the set of derived invariants introduced by Antipov is complete. These algebras first appeared in repres…
Co-t-structures, cotilting and cotorsion pairs
David Pauksztello, Alexandra Zvonareva
Let be a triangulated category with shift functor . Suppose is a co-t-structure with coheart $\mathsf{S} =…
Brauer graph algebras are closed under derived equivalence
Mikhail Antipov, Alexandra Zvonareva
In this paper the class of Brauer graph algebras is proved to be closed under derived equivalence. For that we use the rank of the maximal torus of the identity component $Out^0(A)…
Lifting of recollements and gluing of partial silting sets
Manuel Saorín, Alexandra Zvonareva
This paper focuses on recollements and silting theory in triangulated categories. It consists of two main parts. In the first part a criterion for a recollement of triangulated sub…
On stably biserial algebras and the Auslander-Reiten conjecture for special biserial algebras
Mikhail Antipov, Alexandra Zvonareva
By a result claimed by Pogorzały selfinjective special biserial algebras can be stably equivalent only to stably biserial algebras and these two classes coincide. By an example of…
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…
Külshammer ideals of graded categories and Hochschild cohomology
Yury Volkov, Alexandra Zvonareva
We generalize the notion of Külshammer ideals to the setting of a graded category. This allows us to define and study some properties of Külshammer type ideals in the graded center…
Silting Theory in triangulated categories with coproducts
Pedro Nicolas, Manuel Saorin, Alexandra Zvonareva
We introduce the notion of noncompact (partial) silting and (partial) tilting sets and objects in any triangulated category D with arbitrary (set-indexed) coproducts. We show that…
Derived Picard groups of selfinjective Nakayama algebras
Yury Volkov, Alexandra Zvonareva
In our proceeding paper a generating set of the derived Picard group of a selfinjective Nakayama algebra was constructed combining some previous results for Brauer tree algebras an…
On standard derived equivalences of orbit categories
Yury Volkov, Alexandra Zvonareva
Let $\kk$ be a commutative ring, $\AAA$ and $\BB$ -- two $\kk$-linear categories with an action of a group . We introduce the notion of a standard -equivalence from $\Kb\BB$…
On the derived Picard group of the Brauer star algebra
Alexandra Zvonareva
In this paper we show that the derived Picard group of the Brauer star algebra of type is generated by shift, and equivalences in the…
Two-term tilting complexes over Brauer tree algebras
Alexandra Zvonareva
In this paper all two-term tilting complexes over a Brauer tree algebra with multiplicity one are described using a classification of indecomposable two-term partial tilting comple…
Two-term partial tilting complexes over Brauer tree algebras
Mikhail Antipov, Alexandra Zvonareva
In this paper we describe all indecomposable two-term partial tilting complexes over a Brauer tree algebra with multiplicity 1 using a criterion for a minimal projective presentati…