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dc.contributor.author
Dickenstein, Alicia Marcela
dc.contributor.author
Matusevich, Laura Felicia
dc.contributor.author
Miller, Ezra
dc.date.available
2017-04-10T17:59:15Z
dc.date.issued
2010-03
dc.identifier.citation
Dickenstein, Alicia Marcela; Matusevich, Laura Felicia; Miller, Ezra; Binomial D-modules; Duke University Press; Duke Mathematical Journal; 151; 3; 3-2010; 385-429
dc.identifier.issn
0012-7094
dc.identifier.uri
http://hdl.handle.net/11336/15069
dc.description.abstract
We study quotients of the Weyl algebra by left ideals whose generators consist of an arbitrary Z d -graded binomial ideal I in C[∂1, . . . , ∂n] along with Euler operators de- fined by the grading and a parameter β ∈ C d . We determine the parameters β for which these D-modules (i) are holonomic (equivalently, regular holonomic, when I is standard-graded); (ii) decompose as direct sums indexed by the primary components of I; and (iii) have holonomic rank greater than the rank for generic β. In each of these three cases, the parameters in question are precisely those outside of a certain explicitly described affine subspace arrangement in C d . In the special case of Horn hypergeometric D-modules, when I is a lattice basis ideal, we furthermore compute the generic holonomic rank combinatorially and write down a basis of solutions in terms of associated A-hypergeometric functions. This study relies fundamentally on the explicit lattice point description of the primary components of an arbitrary binomial ideal in characteristic zero, which we derive in our companion article [DMM08].
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Duke University Press
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Hypergeometric
dc.subject
D-Module
dc.subject
Holonomic Rank
dc.subject
Horn
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Binomial D-modules
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-04-06T16:51:58Z
dc.journal.volume
151
dc.journal.number
3
dc.journal.pagination
385-429
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Dickenstein, Alicia Marcela. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
dc.description.fil
Fil: Matusevich, Laura Felicia. Texas A&M University; Estados Unidos
dc.description.fil
Fil: Miller, Ezra. University Of Minnesota; Estados Unidos
dc.journal.title
Duke Mathematical Journal
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://projecteuclid.org/euclid.dmj/1265637658
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