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math-ph2013★ 23 cited
Jack polynomials as fractional quantum Hall states and the Betti numbers of the (k+1)-equals ideal
Christine Berkesch Zamaere, Stephen Griffeth, Steven V Sam
We show that for Jack parameter α= -(k+1)/(r-1), certain Jack polynomials studied by Feigin-Jimbo-Miwa-Mukhin vanish to order r when k+1 of the coordinates coincide. This result wa…
math.AG2013★ 5 cited
Systems of parameters and holonomicity of A-hypergeometric systems
Christine Berkesch, Stephen Griffeth, Ezra Miller
The main result is an elementary proof of holonomicity for A-hypergeometric systems, with no requirements on the behavior of their singularities, originally due to Adolphson [Ado94…