Constructing (Almost) Rigid Rings and a UFD Having Infinitely Generated Derksen and Makar-Limanov Invariants

Canadian mathematical bulletin

关键词: Fermat curve;    Jacobian variety;    elliptic curve;    canonical height;   

DOI  :  10.4153/CMB-2010-017-8

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

An example is given of a UFD which has an infinitely generated Derksen invariant. The ring is "almost rigid" meaning that the Derksen invariant is equal to the Makar-Limanov invariant. Techniques to show that a ring is (almost) rigid are discussed, among which is a generalization of Mason's abc-theorem.

【 授权许可】

Unknown