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Tilting and cluster tilting for quotient singularities
Cohen-Macaulay module quotient singularity stable category triangulated category
2011/3/1
We shall show that the stable categories of graded Cohen-Macaulay modules over quotient
singularities have tilting objects. In particular, these categories are triangle equivalent to derived cat-egor...
Krein formula and S-matrix for Euclidean Surfaces with Conical Singularities
Krein formula S-matrix Euclidean Surfaces
2010/11/24
We use Krein formula and the S-matrix formalism to give formulas for the zeta-regularized determinant of non-Friedrichs extensions of the Laplacian on Euclidean surfaces with Conical Singularities. Th...
A Note on Formality and Singularities of Moduli Spaces
Formality Singularities Moduli Spaces
2010/11/24
This paper studies formality of the differential graded algebra $RHom(E,E)$, where $E$ is a semistable sheaf on a K3 surface. The main tool is Kaledin's theorem on formality in families. For a large ...
Numerical Resolution near t = 0 of NonlinearEvolution Equations in the Presence of Corner Singularities in Space Dimension 1
Numerical Resolution Nonlinear Evolution Equations
2010/11/23
The incompatibilities between the initial and boundary data will cause singularities at the time-space corners, which in turn adversely affect the accuracy of the numerical schemes used to compute the...
Splice Diagram Singularities and The Universal Abelian Cover of Graph Orbifolds
Splice Diagram Singularities The Universal Abelian Cover of Graph Orbifolds
2010/11/9
Given a rational homology sphere M, whose splice diagram satisfy the semigroup condition, Neumann and Wahl were able to define a complete intersection surface singularity called splice diagram singul...
Motivic Poincaré series, toric singularities and logarithmic jacobian ideals
Motivic Poincaré series toric singularities logarithmic jacobian ideals
2010/11/22
The geometric motivic Poincar\'e series of a variety, which was introduced by Denef and Loeser, takes into account the classes in the Grothendieck ring of the sequence of jets of arcs in the variety. ...
Statistical properties of nonuniformly expanding 1d maps with logarithmic singularities
Statistical properties of nonuniformly 1d maps logarithmic singularities
2010/12/13
For a certain parametrized family of maps on the circle, with critical points and
logarithmic singularities where derivatives blow up to infinity, a positive measure set of parameters was constructed...
Singularities of the susceptibility of an SRB measure in the presence of stable-unstable tangencies
SRB measure stable-unstable tangencies
2010/4/1
Let $\rho$ be an SRB (or "physical"), measure for the discrete time evolution given by a map $f$, and let $\rho(A)$ denote the expectation value of a smooth function $A$. If $f$ depends on a parameter...
Ambient Isotopic Meshing for Implicit Algebraic Surfaces with Singularities
Ambient Isotopic Meshing Implicit Algebraic Surfaces Singularities
2013/9/9
A complete method is proposed to compute an ambient isotopic meshing for an implicit algebraic surface with singularities. By ambient isotopic, we mean a meshing with correct topology and any given pr...
Domains of holomorphy with edges and lower dimensional boundary singularities
Domains of holomorphy with edges and lower dimensional boundary singularities
2010/11/1
Necessary and sufficient geometric conditions are given for domains with regular boundary points and edges to be domains of holomorphy provided the remainder boundary subset is of zero Hausdorff 1-cod...
Tyurina Components and Rational Cycles for Rational Singularities
Rational Singularities Rational Cycles
2010/3/3
In this paper, we give a geometric proof of Pinkham's theorem on the positive cycles supported on the exceptional divisor of a rational singularity. In order to do this, we give several properties of ...