TY - JOUR

T1 - Tjurina number of a local complete intersection curve

AU - Bayer, Valmecir Antonio dos Santos

AU - Guzmán, Edison Marcavillaca Niño de

AU - Hefez, Abramo

AU - Hernandes, Marcelo Escudeiro

N1 - Publisher Copyright:
© 2024 Taylor & Francis Group, LLC.

PY - 2024

Y1 - 2024

N2 - 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.

AB - 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.

KW - Complete intersection curves

KW - singularities of curves

KW - Tjurina number

UR - http://www.scopus.com/inward/record.url?scp=85200696457&partnerID=8YFLogxK

U2 - 10.1080/00927872.2024.2381823

DO - 10.1080/00927872.2024.2381823

M3 - Original Article

AN - SCOPUS:85200696457

SN - 0092-7872

JO - Communications in Algebra

JF - Communications in Algebra

ER -