2 citations · 3 across the 9 of their papers we have counts for
10 papers
Matrix factorization of quotient singularities of type A and D
Ayse Sharland, Meral Tosun
In this article, we extend the classical relationship between ADE singularities and their maximal Cohen-Macaulay modules to quotient singularities of types A and D. We identify pro…
Resolutions and deformations of cyclic quotient surface singularities
Yukari Ito, Kohei Sato, Meral Tosun
In this paper, we investigate the relations among various results concerning the minimal resolution of cyclic quotient singularities of the form . We refer to these…
Minimality of a toric embedded resolution of singularities after Bouvier-Gonzalez-Sprinberg
Büşra Karadeniz Şen, Camille Plénat, Meral Tosun
This paper is devoted to construct a minimal toric embedded resolution of a rational singularity via jet schemes. The minimality is reached by extending the concept of the profile…
The embedded Nash problem of birational models of rational triple singularities
Buşra Karadeniz, Hussein Mourtada, Camille Plénat +1
We consider the question whether one can construct an embedded resolution of singularities of a singular variety from the data of the irreducible components…
Lojasiewicz exponent of a surface: an intrinsic view
Emel Bilgin, Gülay Kaya, Meral Tosun
In this paper we observe that the Łojasiewicz exponent of an ADE-type singularity can be computed by means of invariants of certain ideals in the local ring…
Towards the affine and geometric invariant theory quotients of the Borel moment map
Mee Seong Im, Meral Tosun
We study the Borel moment map , given by , and describe our algorithm to construct th…
Triple Root Systems, Quasi-determinantal Quivers and Linear Free Divisors
K. Nakamoto, A. Sharland, M. Tosun
We start by constructing a new root system for rational triple singularities and determine the number of roots for each rational triple singularity. Then we show that, for each roo…
Nonisolated forms of rational triple point singularities of surfaces and their resolutions
Ayse Altintas, Gulen Cevik, Meral Tosun
The work is a detailed study of rational singularities of multiplicity 3 (RTP-singularities, for short). We give a list of nonisolated hypersurface singularities of which normalisa…
A new construction of -singularities and generalization of Slodowy slices
K. Nakamoto, M. Tosun
Any simple elliptic singularity of type can be obtained by taking the intersection of the nilpotent variety and the 4-dimensional "good slices" in the semi-simple Lie…
Invariants of open books of links of surface singularities
A. Nemethi, M. Tosun
In the present article we determine and characterize completely the support genus, the binding number and the norm of a page of an open book under the following restrictions: M is…