Degree bounds on homology and a conjecture of Derksen

作者：Chardin Marc^*; Symonds Peter

来源：Compositio Mathematica, 2016, 152(10): 2041-2049.

DOI：10.1112/S0010437X16007430

• invariant theory
• degree bounds
• local cohomology

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 Tor groups.

• 出版日期2016-10