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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 ...
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. ...
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...