Essential normality of homogenous quotient modules over the polydisc: distinguished variety case

Abstract

In the present paper, we study the essential normality of quotient modules over the polydisc. It is shown that if the zero variety of homogenous ideal $I$ is a distinguished variety, then its quotient module is $(1,\infty )$-essentially normal. Moreover, we study the boundary representation of quotient modules.

21 pages, comments are welcome

References in corpus (1)

• Essentially Reductive Hilbert Modules II