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Degree bounds on homology and a conjecture of Derksen
- Part of
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- Journal:
- Compositio Mathematica / Volume 152 / Issue 10 / October 2016
- Published online by Cambridge University Press:
- 21 September 2016, pp. 2041-2049
- Print publication:
- October 2016
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- Article
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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.
