Irreducible quotients of A-hypergeometric systems


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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/48486

Title:	Irreducible quotients of A-hypergeometric systems
Authors:	Saito, Mutsumi Browse this author →KAKEN DB
Keywords:	A-hypergeometric systems
	irreducibility
	resonance
	toric variety
	ring of differential operators
Issue Date:	Mar-2011
Publisher:	Cambridge University Press
Journal Title:	Compositio Mathematica
Volume:	147
Issue:	2
Start Page:	613
End Page:	632
Publisher DOI:	10.1112/S0010437X10004987
Abstract:	Gel'fand, Kapranov and Zelevinsky proved, using the theory of perverse sheaves, that in the Cohen-Macaulay case an A-hypergeometric system is irreducible if its parameter vector is non-resonant. In this paper we prove, using the theory of the ring of differential operators on an affine toric variety, that in general an A-hypergeometric system is irreducible if and only if its parameter vector is non-resonant. In the course of the proof, we determine the irreducible quotients of an A-hypergeometric system.
Rights:	© Foundation Compositio Mathematica 2010.
Relation:	http://journals.cambridge.org/action/displayJournal?jid=COM
Type:	article
URI:	http://hdl.handle.net/2115/48486
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 齋藤睦

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