First syzygies of irreducible A-hypergeometric quotients


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Title:	First syzygies of irreducible A-hypergeometric quotients
Authors:	Saito, Mutsumi Browse this author →KAKEN DB
Keywords:	A-hypergeometric system
	irreducible quotient
	first syzygy
	toric variety
Issue Date:	Jan-2013
Publisher:	Elsevier B.V.
Journal Title:	Journal of Pure and Applied Algebra
Volume:	217
Issue:	1
Start Page:	31
End Page:	44
Publisher DOI:	10.1016/j.jpaa.2012.04.010
Abstract:	An A-hypergeometric system is not irreducible, if its parameter vector is resonant. In this paper, we present a way of computing a finite system of generators of the first syzygy module of an irreducible A-hypergeometric quotient. In particular, if the semigroup generated by A is simplicial and scored, then an explicit system of generators is given.
Type:	article (author version)
URI:	http://hdl.handle.net/2115/51035
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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