Multi-Rees algebras and partial Castelnuovo–Mumford regularity

  • Sepehr Jafari (Università degli studi di Genova, GENOVA, Italy)
E1 05 (Leibniz-Saal)


Let $S=K[x_1,...,x_n]$ be a standard graded polynomial ring with arbitrary field $K$. Let $I_1,...,I_r$ be homogeneous ideals of $S$. The multi-Rees algebra $Rees(I_1,...,I_r)= S[I_1T_1,...,I_rT_1]$ encodes the information of any product like $I_1^{a_1}...I_r^{a_r}$ and is a standard tool in the study of regularity of $I_1^{a_1}...I_r^{a_r}$. In this short talk, we try to calculate the partial regularity of $Rees(I_1,...,I_r)$.

Saskia Gutzschebauch

Max-Planck-Institut für Mathematik in den Naturwissenschaften Contact via Mail

Heather Harrington

University of Oxford

Eliana Duarte Gelvez

Max Planck Institute for Mathematics in the Sciences

Thomas Kahle