Graded rings associated with contracted ideals

Aldo Conca, Emanuela De Negri, A. V. Jayanthan +1

By definition, an $\m$-primary ideal $I$ in a 2-dimensional regular local ring $(R, \m)$ is contracted if $I=R \cap IR[\m/x]$ for some $x \in \m \setminus \m^2$. Contracted ideals…