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- W4300883986 abstract "Let Vn be the SL2-module of binary forms of degree n and let V = Vn1+...+Vnp . We consider the algebra R of polynomial functions on V invariant under the action of SL2. The measure of the intricacy of these algebras is the length of their chains of syzygies, called homological dimension hdR. Popov gave in 1983 a classification of the cases in which hdR <=10 for a single binary form (p = 1) or hdR <=3 for a system of two or more binary forms (p > 1). We extend Popov's result and determine for p = 1 the cases with hdR <= 100, and for p > 1 those with hdR <= 15. In these cases we give a set of homogeneous parameters and a set of generators for the algebra R." @default.
- W4300883986 created "2022-10-04" @default.
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- W4300883986 date "2011-02-21" @default.
- W4300883986 modified "2023-09-27" @default.
- W4300883986 title "SL2-modules of small homological dimension" @default.
- W4300883986 doi "https://doi.org/10.48550/arxiv.1102.4250" @default.
- W4300883986 hasPublicationYear "2011" @default.
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