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The Grade Conjecture and the $S_{2}$ Condition |
Canad. Math. Bull. 45(2002), 119-122
Published:2002-03-01
Printed: Mar 2002
Printed: Mar 2002
- Agustín Marcelo
- Félix Marcelo
- César Rodríguez
Abstract
Sufficient conditions are given in order to prove the lowest unknown case
of the grade conjecture. The proof combines vanishing results of local
cohomology and the $S_{2}$ condition.
| MSC Classifications: |
13D22 - Homological conjectures (intersection theorems) 13D45 - Local cohomology [See also 14B15] 13D25 - Complexes 13C15 - Dimension theory, depth, related rings (catenary, etc.) |