Rocky Mountain Journal of Mathematics

Multigraded Hilbert schemes parametrizing ideals in the Weyl algebra

Jen-Chieh Hsiao

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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.

Article information

Rocky Mountain J. Math., Volume 47, Number 8 (2017), 2675-2692.

First available in Project Euclid: 3 February 2018

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Zentralblatt MATH identifier

Primary: 14C05: Parametrization (Chow and Hilbert schemes) 16S32: Rings of differential operators [See also 13N10, 32C38]

Hilbert schemes Weyl algebras


Hsiao, Jen-Chieh. Multigraded Hilbert schemes parametrizing ideals in the Weyl algebra. Rocky Mountain J. Math. 47 (2017), no. 8, 2675--2692. doi:10.1216/RMJ-2017-47-8-2675.

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