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 -