16 citations · 26 across the 10 of their papers we have counts for
15 papers
A symplectic fourfold
Maria Donten-Bury, Grzegorz Kapustka, Benedetta Piroddi +1
We present a method to construct irreducible symplectic varieties by studying terminalisations of quotient of hyper-Kähler manifolds by non-natural group actions. In particular, we…
On Rational Recursive Sequences
Lorenzo Clemente, Maria Donten-Bury, Filip Mazowiecki +1
We study the class of rational recursive sequences (ratrec) over the rational numbers. A ratrec sequence is defined via a system of sequences using mutually recursive equations of…
Complexity of the usual torus action on Kazhdan-Lusztig varieties
Maria Donten-Bury, Laura Escobar, Irem Portakal
We investigate the class of Kazhdan-Lusztig varieties, and its subclass of matrix Schubert varieties, endowed with a naturally defined torus action. Writing a matrix Schubert varie…
Towards classifying toric degenerations of cubic surfaces
Maria Donten-Bury, Paul Görlach, Milena Wrobel
We investigate the class of degenerations of smooth cubic surfaces which are obtained from degenerating their Cox rings to toric algebras. More precisely, we work in the spirit of…
Crepant resolutions of 3-dimensional quotient singularities via Cox rings
Maria Donten-Bury, Maksymilian Grab
We study Cox rings of crepant resolutions of quotient singularities where is a finite subgroup of . We use them to obtain information on the…
Khovanskii bases of Cox-Nagata rings and tropical geometry
Martha Bernal, Daniel Corey, Maria Donten-Bury +2
The Cox ring of a del Pezzo surface of degree 3 has a distinguished set of 27 minimal generators. We investigate conditions under which the initial forms of these generators genera…
Computing resolutions of quotient singularities
Maria Donten-Bury, Simon Keicher
Let be a finite group without pseudo-reflections. We present an algorithm to compute and verify a candidate for the Cox ring of a resolution $X\rightarrow \mathb…
Equivariant Hirzebruch classes and Molien series of quotient singularities
Maria Donten-Bury, Andrzej Weber
We study properties of the Hirzebruch class of quotient singularities , where is a finite matrix group. The main result states that the Hirzebruch class coincid…
A very special EPW sextic and two IHS fourfolds
Maria Donten-Bury, Bert van Geemen, Grzegorz Kapustka +2
We show that the Hilbert scheme of two points on the Vinberg surface has a 2:1 map onto a very symmetric EPW sextic in . The fourfold is singular along $…
Cox rings of some symplectic resolutions of quotient singularities
Maria Donten-Bury, Maksymilian Grab
We investigate Cox rings of symplectic resolutions of quotients of by finite symplectic group actions. We propose a finite generating set of the Cox ring of a sym…
On 81 symplectic resolutions of a 4-dimensional quotient by a group of order 32
Maria Donten-Bury, Jarosław A. Wiśniewski
We provide a construction of 81 symplectic resolutions of a 4-dimensional quotient singularity obtained by an action of a group of order 32. The existence of such resolutions is kn…
Phylogenetic invariants for scheme-theoretically
Maria Donten-Bury
We study phylogenetic invariants of models of evolution whose group of symmetries is the cyclic group with 3 elements. We prove that projective schemes corresponding to the ideal I…
Cox rings of minimal resolutions of surface quotient singularities
Maria Donten-Bury
We investigate Cox rings of minimal resolutions of surface quotient singularities and provide two descriptions of these rings. The first one is the equation for the spectrum of a C…
Phylogenetic invariants for group-based models
Maria Donten-Bury, Mateusz Michalek
In this paper we investigate properties of algebraic varieties representing group-based phylogenetic models. We propose a method of generating many phylogenetic invariants. We prov…
On Kummer 3-folds
Maria Donten-Bury
We investigate a generalization of Kummer construction, as introduced in a recent paper by M. Andreatta and J.A. Wisniewski. The aim of this work is to classify 3-dimensional Kumme…