|
|||||
|
|
|
|
|
|
|
|
|
Support sets of pairs
of modules
David A. Jorgensen |
|
Vol. 207 (2002), No. 2, 393–409
|
Abstract |
|
Let R be the quotient of a local domain (Q,n) by a proper ideal minimally generated by f1,…,fc. Assume Q∕n is algebraically closed, and let M and N be finitely generated R-modules. We show there is an algebraic set in c-dimensional affine space, called the support set of the pair (M,N), which describes those hypersurfaces h ∈ (f1,…,fc) − n(f1,…,fc) over which there are infinitely many nonzero ExtQ∕(h)i(M,N). This generalizes to arbitrary quotients of regular local rings the notion of support variety for modules over complete intersections. |
Milestones
Published: 1 December 2002
|
Authors |
| David A. Jorgensen | |
| Department of Mathematics University of Kansas Lawrence, KS 66045 |
Department of Mathematics University of Texas at Arlington Arlington, TX 76019 |
|
