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A condition for finite generation of the kernel of a derivation

โœ Scribed by Shigeru Kuroda

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
113 KB
Volume
262
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

We consider a homogeneous derivation on a finitely generated graded normal domain over a field, and give a sufficient condition for finite generation of its kernel. As its consequence, we show some sufficient conditions for finite generation of the kernel of a derivation on a polynomial ring. In particular, we prove that the kernel of a locally nilpotent monomial derivation on a polynomial ring in four variables is finitely generated.

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