Tjurina number of a local complete intersection curve

Bayer V.A.D.S.; Guzmán E.M.N.D.; Hefez A.; Hernandes M.E. · Communications in Algebra (2025) · DOI: 10.1080/00927872.2024.2381823

Resumen

In contrast to the Milnor number, there was no known formula relating the Tjurina number of a reducible curve to the Tjurina numbers of its components. In this work we exhibit such a formula relating Tjurina number of a complete intersection algebroid (or analytic) curve over an algebraically closed field of characteristic zero (or over (Formula presented.)) to the Tjurina numbers of its components, involving the intersection indices among the components and numerical analytic invariants extracted from modules of Kähler differentials on unions of branches of the curve.

Instituciones: Universidad Continental