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The Module Dfs for Locally Quasi-homogeneous Free Divisors

Published online by Cambridge University Press:  04 December 2007

Francisco Calderón-Moreno  and
Luis Narváez-Macarro
Francisco Calderón-Moreno
Affiliation:
Departamento de Álgebra, Facultad de Matemáticas, Universidad de Sevilla, PO 1160, 41080 Seville, Spain. calderon@algebra.us.es
Luis Narváez-Macarro
Affiliation:
Departamento de Álgebra, Facultad de Matemáticas, Universidad de Sevilla, PO 1160, 41080 Seville, Spain. narvaez@algebra.us.es
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Abstract

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We find explicit free resolutions for the D-modules Dfs and D[s] fs / D[s] fs+1, where f is a reduced equation of a locally quasi-homogeneous free divisor. These results are based on the fact that every locally quasi-homogeneous free divisor is Koszul free, which is also proved in this paper.

Keywords

de Rham complexD-modulefree divisorideal of linear typeKoszul complexlocally quasi-homogeneousSpencer complex
Type
Research Article
Information
Compositio Mathematica , Volume 134 , Issue 1 , October 2002 , pp. 59 - 74
Copyright
© 2002 Kluwer Academic Publishers