Resonance equals reducibility for A-hypergeometric systems

I. M. Gel ′

1987

Earlier work this paper cites.

I. M. Gel ′

1989

Earlier work this paper cites.

I. M. Gel ′

1990

Earlier work this paper cites.

Alan Adolphson, Hypergeometric functions and rings generated by monomials , Duke Math. J. 73

1994

Earlier work this paper cites.

Bernd Sturmfels and Nobuki Takayama, Gröbner bases and hypergeometric functions , Gröbner bases and applications (Linz, 1998), London Math. Soc. Lecture Note Ser., vol. 251, Cambridge Univ. Press, Cambridge, 1998, pp. 246–258. MR 1708882 (2001c:33026)

1998

Earlier work this paper cites.

Eduardo Cattani, Carlos D’Andrea, and Alicia Dickenstein, The 𝒜 {\mathscr{A}} -hypergeometric system associated with a monomial curve , Duke Math. J. 99

1999

Cited alongside, same era.

Mutsumi Saito, Bernd Sturmfels, and Nobuki Takayama, Gröbner deformations of hypergeometric differential equations , Algorithms and Computation in Mathematics, vol. 6, Springer-Verlag, Berlin, 2000. MR 1734566 (2001i:13036)

2000

Cited alongside, same era.

Laura Felicia Matusevich, Ezra Miller, and Uli Walther, Homological methods for hypergeometric families , J. Amer. Math. Soc. 18

2005

Cited alongside, same era.

Laura Felicia Matusevich and Ezra Miller, Combinatorics of rank jumps in simplicial hypergeometric systems , Proc. Amer. Math. Soc. 134

2006

Cited alongside, same era.

Go Okuyama, 𝒜 \mathscr{A} -hypergeometric ranks for toric threefolds , Int. Math. Res. Not. (2006), Art. ID 70814, 38. MR 2250006 (2007h:14076)

2006

Cited alongside, same era.

Uli Walther, Duality and monodromy reducibility of A A -hypergeometric systems , Math. Ann. 338

2007

Later among the works it cites.

Mathias Schulze and Uli Walther, Irregularity of hypergeometric systems via slopes along coordinate subspaces , Duke Math. J. 142

2008

Later among the works it cites.

by same author, Hypergeometric D-modules and twisted Gauß-Manin systems , J. Algebra 322

2009

Later among the works it cites.

Frits Beukers, Irreducibility of A A -hypergeometric systems , arXiv.org math.AG

2010

Closest in time.

Christine Berkesch, The rank of a hypergeometric system , Compos. Math. 147

2011

Closest in time.