Liaison and Cohen–Macaulayness conditions

• Autores: Francesca Cioffi, Roberta Di Gennaro
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 62, Fasc. 2, 2011, págs. 173-186
• Idioma: inglés
• DOI: 10.1007/s13348-010-0010-z
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• Resumen

  • Using liaison, we study projective curves which are close to complete intersections in terms of Castelnuovo–Mumford regularity or degree and we obtain conditions for a space curve C being arithmetically 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? , with n ≥ 4. The results for curves are sharp as suitable examples show.