5 papers
First Steps towards Hyper-desingularization through Brauer-Severi Varieties
Raf Bocklandt, Stijn Symens, Geert Van de Weyer
Given a Cayley-Hamilton smooth order A in a central simple algebra , we determine the flat locus of the Brauer-Severi fibration of the smooth order. Moreover, we give a classifi…
Isolated singularities, smooth orders and Auslander regularity
Raf Bocklandt, Lieven Le Bruyn, Stijn Symens
In this note we prove that a smooth order satisfying the reverse geometric engineering of singularities conditions in stringtheory (in any compactifying dimension) is Auslander reg…
Smooth quiver quotient varieties
Raf Bocklandt
In this paper we classify all the quivers and corresponding dimension vectors having a smooth space of semisimple representation classes. The result is that these quiver settings c…
Smooth Character Varieties for Torus Knot Groups
Jan Adriaenssens, Raf Bocklandt, Geert Van de Weyer
Semisimple representations of the free product Z_p*Z_q determine θ-semistable representations of a specific quiver Q_pq. The dimension vectors of θ-stable representations of this q…
Necklace Lie algebras and noncommutative symplectic geometry
Raf Bocklandt, Lieven Le Bruyn
Recently V. Ginzburg proved that Calogero phase space is a coadjoint orbit for some infinite dimensional Lie algebra coming from noncommutative symplectic geometry. In this note we…