Open Access
2017 Multigraded Hilbert schemes parametrizing ideals in the Weyl algebra
Jen-Chieh Hsiao
Rocky Mountain J. Math. 47(8): 2675-2692 (2017). DOI: 10.1216/RMJ-2017-47-8-2675

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

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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

Information

Published: 2017
First available in Project Euclid: 3 February 2018

zbMATH: 06840994
MathSciNet: MR3760312
Digital Object Identifier: 10.1216/RMJ-2017-47-8-2675

Subjects:
Primary: 14C05 , 16S32

Keywords: Hilbert schemes , Weyl algebras

Rights: Copyright © 2017 Rocky Mountain Mathematics Consortium

Vol.47 • No. 8 • 2017
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