The Signature of the Chern Coefficients of Local Rings
| dc.creator | Ghezzi, Laura | |
| dc.creator | Hong, Jooyoun | |
| dc.creator | Vasconcelos, Wolmer V. | |
| dc.date | 2008-07-17 | |
| dc.date | 2009-02-19 | |
| dc.date.accessioned | 2026-07-07T12:43:12Z | |
| dc.date.available | 2026-07-07T12:43:12Z | |
| dc.description | This paper considers the following conjecture: If $R$ is an unmixed, equidimensional local ring that is a homomorphic image of a Cohen-Macaulay local ring, then for any ideal $J$ generated by a system of parameters, the Chern coefficient $e_1(J)< 0$ is equivalent to $R$ being non Cohen-Macaulay. The conjecture is established if $R$ is a homomorphic image of a Gorenstein ring, and for all universally catenary integral domains containing fields. Criteria for the detection of Cohen-Macaulayness in equi-generated graded modules are derived. | |
| dc.description | Example 3.8 (in pages 8-9) is revised | |
| dc.identifier | https://arxiv.org/abs/0807.2686 | |
| dc.identifier | http://arxiv.org/abs/0807.2686 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/220340 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13A30 | |
| dc.title | The Signature of the Chern Coefficients of Local Rings | |
| dc.type | text |