4 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…
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…