6533b82ffe1ef96bd129469b

RESEARCH PRODUCT

Milnor Number Equals Tjurina Number for Functions on Space Curves

Duco Van StratenDavid Mond

subject

Discrete mathematicsMathematics::Algebraic GeometryDiscriminantGeneral MathematicsGravitational singularityDivisor (algebraic geometry)QASpace (mathematics)MathematicsMilnor number

description

The equality of the Milnor number and Tjurina number for functions on space curve singularities, as conjectured recently by V. Goryunov, is proved. As a consequence, the discriminant in such a situation is a free divisor.

yearjournalcountryeditionlanguage
2001-02-01Journal of the London Mathematical Society
https://doi.org/10.1112/s0024610700001320