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Degree bounds on homology and a conjecture of Derksen
Published online by Cambridge University Press: 21 September 2016
Abstract
Harm Derksen made a conjecture concerning degree bounds for the syzygies of rings of polynomial invariants in the non-modular case [Degree bounds for syzygies of invariants, Adv. Math. 185 (2004), 207–214]. We provide counterexamples to this conjecture, but also prove a slightly weakened version. We also prove some general results that give degree bounds on the homology of complexes and of $\text{Tor}\,$ groups.
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- Research Article
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- © The Authors 2016
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