Resumen de Copolar and non-copolar properties of monomial ideals

Fatemeh Mohammadi, Patricia Pascual Ortigosa, Eduardo Sáenz de Cabezón Irigaray

• Monomial ideals that have the same polarization are called copolar. Copolar ideals share several important properties, like Betti numbers or height. Given an ideal I we can obtain information about it by examining the family of ideals copolar to a it. We give some examples of this approach that demonstrate its utility.Monomial ideals that have the same polarization are called copolar. Copolar ideals share several important properties, like Betti numbers or height. Given an ideal I we can obtain information about it by examining the family of ideals copolar to a it. We give some examples of this approach that demonstrate its utility.