On exceptional quotient singularities

On Exceptional Quotient Singularities

We study four-dimensional and five-dimensional exceptional quotient singularities.

On Four - Dimensional Terminal Quotient Singularities

We report on an investigation of four-dimensional terminal cyclic quotient singularities which are not Gorenstein. (For simplicity, we focus on quotients by cyclic groups of prime order.) An enumeration, using a computer, of all such singularities for primes < 1600 led us to conjecture a structure theorem for these singularities (which is rather more complicated than the known structure theorem...

On hypersurface quotient singularities of dimension 4

We consider geometrical problems on Gorenstein hypersurface orbifolds of dimension n ≥ 4 through the theory of Hilbert scheme of group orbits.

D-branes on Nonabelian Threefold Quotient Singularities

We investigate the classical moduli space of D-branes on a nonabelian CalabiYau threefold singularity and find that it admits topology-changing transitions. We construct a general formalism of worldvolume field theories in the language of quivers and give a procedure for computing the enlarged Kähler cone of the moduli space. The topology changing transitions achieved by varying the Fayet-Iliop...

Motivic Integration and Quotient Singularities