Multigraded Hilbert schemes parametrizing ideals in the weyl algebra

Research output: Contribution to journalArticle

Abstract

Results of Haiman and Sturmfels [2] 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.

Original languageEnglish
Pages (from-to)2675-2692
Number of pages18
JournalRocky Mountain Journal of Mathematics
Volume47
Issue number8
DOIs
Publication statusPublished - 2017 Jan 1

Fingerprint

Hilbert Scheme
Hilbert Function
Weyl Algebra
Grading
Abelian group

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

@article{4b9444ed4d8c4aeda538f9c8dca8e4a2,
title = "Multigraded Hilbert schemes parametrizing ideals in the weyl algebra",
abstract = "Results of Haiman and Sturmfels [2] 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.",
author = "Jen-Chieh Hsiao",
year = "2017",
month = "1",
day = "1",
doi = "10.1216/RMJ-2017-47-8-2675",
language = "English",
volume = "47",
pages = "2675--2692",
journal = "Rocky Mountain Journal of Mathematics",
issn = "0035-7596",
publisher = "Rocky Mountain Mathematics Consortium",
number = "8",

}

Multigraded Hilbert schemes parametrizing ideals in the weyl algebra. / Hsiao, Jen-Chieh.

In: Rocky Mountain Journal of Mathematics, Vol. 47, No. 8, 01.01.2017, p. 2675-2692.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Multigraded Hilbert schemes parametrizing ideals in the weyl algebra

AU - Hsiao, Jen-Chieh

PY - 2017/1/1

Y1 - 2017/1/1

N2 - Results of Haiman and Sturmfels [2] 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.

AB - Results of Haiman and Sturmfels [2] 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.

UR - http://www.scopus.com/inward/record.url?scp=85041672521&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85041672521&partnerID=8YFLogxK

U2 - 10.1216/RMJ-2017-47-8-2675

DO - 10.1216/RMJ-2017-47-8-2675

M3 - Article

AN - SCOPUS:85041672521

VL - 47

SP - 2675

EP - 2692

JO - Rocky Mountain Journal of Mathematics

JF - Rocky Mountain Journal of Mathematics

SN - 0035-7596

IS - 8

ER -