Abstract
Results of Haiman and Sturmfels \cite {HS04} on multigraded Hilbert schemes are used to establish a quasi-projective scheme which parametrizes all left homogeneous ideals in the Weyl algebra having a fixed Hilbert function with respect to a given grading by an abelian group.
Citation
Jen-Chieh Hsiao. "Multigraded Hilbert schemes parametrizing ideals in the Weyl algebra." Rocky Mountain J. Math. 47 (8) 2675 - 2692, 2017. https://doi.org/10.1216/RMJ-2017-47-8-2675