Essential normality for quotient modules and complex dimensions

Yi Wang; Jingbo Xia

doi:10.1016/j.jfa.2018.08.022

Essential normality for quotient modules and complex dimensions

Yi Wang
, Jingbo Xia

Mathematics

Texas A&M University

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

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_CM˜ 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.

Original language	English
Pages (from-to)	1061-1096
Number of pages	36
Journal	Journal of Functional Analysis
Volume	276
Issue number	4
DOIs	https://doi.org/10.1016/j.jfa.2018.08.022
State	Published - Feb 15 2019

Keywords

Essential normality
Geometric Arveson–Douglas Conjecture
Hilbert module

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10.1016/j.jfa.2018.08.022

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title = "Essential normality for quotient modules and complex dimensions",

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>dimCM˜ 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.",

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AU - Xia, Jingbo

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AB - 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>dimCM˜ 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.

KW - Essential normality

KW - Geometric Arveson–Douglas Conjecture

KW - Hilbert module

UR - https://www.scopus.com/pages/publications/85053071852

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DO - 10.1016/j.jfa.2018.08.022

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JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

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Essential normality for quotient modules and complex dimensions

Abstract

Keywords

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