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Essential normality for quotient modules and complex dimensions

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Abstract For analytic sets M ˜ introduced in [9] , we show that the corresponding quotient module Q of the Bergman module is p-essentially normal for all p > dim… Click to show full abstract

Abstract For analytic sets M ˜ introduced in [9] , we show that the corresponding quotient module Q of the Bergman module is p-essentially normal for all p > dim C M ˜ , which verifies the Geometric Arveson–Douglas Conjecture in this case. This result makes it possible to study the Helton–Howe trace invariants on both Q and the corresponding submodule R .

Keywords: quotient; normality quotient; essential normality; quotient modules; modules complex; complex dimensions

Journal Title: Journal of Functional Analysis
Year Published: 2019

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