TY - JOUR
T1 - Systems of parameters and holonomicity of A-hypergeometric systems
AU - Zamaere, Christine Berkesch
AU - Griffeth, Stephen
AU - Miller, Ezra
PY - 2015
Y1 - 2015
N2 - We give an elementary proof of holonomicity for A-hypergeometric systems, with no requirements on the behavior of their singularities, a result originally due to Adolphson (1994) after the regular singular case by Gelfand and Gelfand (1986). Our method yields a direct de novo proof that A-hypergeometric systems form holonomic families over their parameter spaces, as shown by Matusevich, Miller, and Walther (2005).
AB - We give an elementary proof of holonomicity for A-hypergeometric systems, with no requirements on the behavior of their singularities, a result originally due to Adolphson (1994) after the regular singular case by Gelfand and Gelfand (1986). Our method yields a direct de novo proof that A-hypergeometric systems form holonomic families over their parameter spaces, as shown by Matusevich, Miller, and Walther (2005).
KW - Differential operators
KW - Holonomic
KW - Hypergeometric
KW - Toric
UR - http://www.scopus.com/inward/record.url?scp=84938238205&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84938238205&partnerID=8YFLogxK
U2 - 10.2140/pjm.2015.276.281
DO - 10.2140/pjm.2015.276.281
M3 - Article
AN - SCOPUS:84938238205
SN - 0030-8730
VL - 276
SP - 281
EP - 286
JO - Pacific Journal of Mathematics
JF - Pacific Journal of Mathematics
IS - 2
ER -