Using liaison, we study projective curves which are close to complete intersections in terms of the Castelnuovo-Mumford regularity or degree and we obtain conditions for a space curve C being arithmentically Cohen-Macaulay, generalizing a result of E. D. Davis. These conditions apply also, in weaker forms, to equidimensional and lCM subschemes of codimension two and to curves in P^n, with n >= 4. The results for curves are sharp as suitable examples show.
Liaison and Cohen-Macaulayness conditions / Cioffi, Francesca; DI GENNARO, Roberta. - In: COLLECTANEA MATHEMATICA. - ISSN 0010-0757. - 62:2(2011), pp. 173-186. [10.1007/s13348-010-0010-z]
Liaison and Cohen-Macaulayness conditions
CIOFFI, FRANCESCA
;DI GENNARO, ROBERTA
2011
Abstract
Using liaison, we study projective curves which are close to complete intersections in terms of the Castelnuovo-Mumford regularity or degree and we obtain conditions for a space curve C being arithmentically Cohen-Macaulay, generalizing a result of E. D. Davis. These conditions apply also, in weaker forms, to equidimensional and lCM subschemes of codimension two and to curves in P^n, with n >= 4. The results for curves are sharp as suitable examples show.| File | Dimensione | Formato | |
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