Geometric Arveson-Douglas conjecture
classification
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math.CV
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arveson-douglasconjectureawayballboutetconsistessentialfunctions
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We prove the Arveson-Douglas essential normality conjecture for graded Hilbert submodules that consist of functions vanishing on a given homogeneous subvariety of the ball, smooth away from the origin. Our main tool is the theory of generalized Toeplitz operators of Boutet de Monvel and Guillemin.
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