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Geometric Arveson–Douglas conjecture |
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| Authors: | Miroslav Engliš Jörg Eschmeier |
| Institution: | 1. Mathematics Institute, ?itná 25, 11567 Prague 1, Czech Republic;2. Mathematics Institute, Silesian University at Opava, Na Rybní?ku 1, 74601 Opava, Czech Republic;3. Fachrichtung Mathematik, Universität des Saarlandes, Postfach 15 11 50, D-66041 Saarbrücken, Germany |
| Abstract: | 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. |
| Keywords: | primary 47A13 secondary 32W25 47B35 |
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