Resumen de The edge ideals of t-spread d-partite hypergraphs

Asli Musapaşaoğlu, Ayesha Asloob Qureshi, Mehrdad Nasernejad

• Inspired by the definition of t-spread monomial ideals, in this paper, we introduce t-spread d-partite hypergraph Kv and study its edge ideal I (Kv). We prove that I (Kv) has linear quotients, all powers of I (Kv) have linear resolution and the Rees algebra of I (Kv) is a normal Cohen-Macaulay domain. It is also shown that I (Kv) is normally torsion-free and a complete characterization of Cohen-Macaulay S/I (Kv) is given.