Inventiones mathematicae

, Volume 164, Issue 3, pp 635–640 | Cite as

There are no graded domains with GK dimension strictly between 2 and 3

  • Agata SmoktunowiczEmail author


Let K be a field, and let R=⊕ nN R n be a finitely generated, graded K-algebra which is a domain. It is shown that R cannot have Gelfand-Kirillov dimension strictly between 2 and 3.


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Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.School of MathematicsUniversity of EdinburghEdinburghUK

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