On the quotient of Milnor and Tjurina numbers for two‐dimensional isolated hypersurface singularities
Patricio Almirón
Abstract
Abstract In this paper we give a complete answer to a question posed by Dimca and Greuel about the quotient of the Milnor and Tjurina numbers of a plane curve singularity. We put this question into a general framework of the study of the difference of Milnor and Tjurina numbers for isolated complete intersection singularities showing its connection with other problems in singularity theory.
Topics & Concepts
MathematicsHypersurfaceGravitational singularityQuotientSingularityPure mathematicsComplete intersectionIntersection (aeronautics)Connection (principal bundle)Plane (geometry)Singularity theoryMathematical analysisGeometryEngineeringAerospace engineeringAlgebraic Geometry and Number TheoryCommutative Algebra and Its ApplicationsPolynomial and algebraic computation