TY - JOUR
T1 - LOCAL COHOMOLOGY AND THE MULTIGRADED REGULARITY OF FJm-MODULES
AU - Li, Liping
AU - Ramos, Eric
N1 - Publisher Copyright:
© 2021 Rocky Mountain Mathematics Consortium. All Rights Reserved.
PY - 2021/6
Y1 - 2021/6
N2 - We develop a local cohomology theory for FJm -modules, and show that it in many ways mimics the classical theory for multigraded modules over a polynomial ring. In particular, we define an invariant of FJm -modules using this local cohomology theory which closely resembles an invariant of multigraded modules over Cox rings defined by Maclagan and Smith. It is then shown that this invariant behaves almost identically to the invariant of Maclagan and Smith.
AB - We develop a local cohomology theory for FJm -modules, and show that it in many ways mimics the classical theory for multigraded modules over a polynomial ring. In particular, we define an invariant of FJm -modules using this local cohomology theory which closely resembles an invariant of multigraded modules over Cox rings defined by Maclagan and Smith. It is then shown that this invariant behaves almost identically to the invariant of Maclagan and Smith.
KW - FI-modules
KW - local cohomology
KW - regularity
UR - http://www.scopus.com/inward/record.url?scp=85115812133&partnerID=8YFLogxK
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U2 - 10.1216/jca.2021.13.235
DO - 10.1216/jca.2021.13.235
M3 - Article
AN - SCOPUS:85115812133
SN - 1939-0807
VL - 13
SP - 235
EP - 252
JO - Journal of Commutative Algebra
JF - Journal of Commutative Algebra
IS - 2
ER -