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Removable singularities of solutions of A-harmonic type equations
A-harmonic type equation Removable singularity Caccioppoli type estimate
2007/12/11
A Caccioppoli type estimate is established for a classof second order PDEs of divergence type, and its removablesingularities of Hausdorff dimension greater than zero isobtained.
A formula for Euler characteristic of line singularities on singular spaces
Euler characteristic line singularities singular spaces
2010/10/29
We prove an algebraic formula for the Euler characteristic of the Milnor fibres of functions with critical locus a smooth curve on a space which is a weighted homogeneous complete intersection with is...
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 ...