TY - JOUR
T1 - Depth and the local cohomology of FIG-modules
AU - Li, Liping
AU - Ramos, Eric
N1 - Publisher Copyright:
© 2018
PY - 2018/4/30
Y1 - 2018/4/30
N2 - In this paper we describe a machinery for homological calculations of representations of FIG, and use it to develop a local cohomology theory over any commutative Noetherian ring. As an application, we show that the depth introduced by the second author in [16] coincides with a more classical invariant from commutative algebra, and obtain upper bounds of a few important invariants of FIG-modules in terms of torsion degrees of their local cohomology groups.
AB - In this paper we describe a machinery for homological calculations of representations of FIG, and use it to develop a local cohomology theory over any commutative Noetherian ring. As an application, we show that the depth introduced by the second author in [16] coincides with a more classical invariant from commutative algebra, and obtain upper bounds of a few important invariants of FIG-modules in terms of torsion degrees of their local cohomology groups.
KW - FI-modules
KW - Local cohomology
KW - Representation stability
UR - http://www.scopus.com/inward/record.url?scp=85042519865&partnerID=8YFLogxK
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U2 - 10.1016/j.aim.2018.02.029
DO - 10.1016/j.aim.2018.02.029
M3 - Article
AN - SCOPUS:85042519865
SN - 0001-8708
VL - 329
SP - 704
EP - 741
JO - Advances in Mathematics
JF - Advances in Mathematics
ER -