ACM sheaves on a nonsingular quadric hypersurface in $P^4_k$
| dc.creator | Drozd, Elena | |
| dc.date | 2004-09-15 | |
| dc.date.accessioned | 2026-07-07T05:12:07Z | |
| dc.date.available | 2026-07-07T05:12:07Z | |
| dc.description | We prove that on a nonsingular quadric hypersurface Q in $P^4_k$ even CI liaison classes of ACM curves are in bijective correspondence with the stable equivalence classes (up to shift in degree) of maximal Cohen-Macaulay graded modules over the coordinate ring R of Q, which in turn, are in bijective correspondence with stable equivalence classes (up to shift in degree) of ACM sheaves on Q . In the situation of a nonsingular quadric hypersurface Q in $P^4_k$ work of Knorrer shows that there is a unique nonfree indecomposable MCM module over R. We also describe the ACM sheaf corresponding to this MCM module and give its cohomology table and its Hilbert polynomial. | |
| dc.identifier | https://arxiv.org/abs/math/0409243 | |
| dc.identifier | http://arxiv.org/abs/math/0409243 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72473 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13C14; 14M06 | |
| dc.title | ACM sheaves on a nonsingular quadric hypersurface in $P^4_k$ | |
| dc.type | text |