L. Matusevich

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20002004

A

-hypergeometric systems through Laurent polynomials

3 citations · 4 across the 4 of their papers we have counts for

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math.CO2004★ 3 cited

Arbitrary rank jumps for $A$ -hypergeometric systems through Laurent polynomials

Laura Felicia Matusevich, Uli Walther

We investigate the solution space of hypergeometric systems of differential equations in the sense of Gelfand, Graev, Kapranov and Zelevinsky. For any integer $d \geq 2$ we constru…

math.CO2001

Exceptional parameters for generic A-hypergeometric systems

Laura Felicia Matusevich

The holonomic rank of an A-hypergeometric system $H_{A} (β)$ is conjectured to be independent of the parameter vector $β$ if and only if the toric ideal $I_{A}$ is Cohen Macaulay. We pr…

math.CO2000

Rank jumps in Codimension 2 A-Hypergeometric Systems

Laura Felicia Matusevich

The holonomic rank of the A-hypergeometric system H_A(β) is shown to depend on the parameter vector βwhen the underlying toric ideal I_A is a non Cohen Macaulay codimension 2 toric…

Arbitrary rank jumps for A-hypergeometric systems through Laurent polynomials

Exceptional parameters for generic A-hypergeometric systems

Rank jumps in Codimension 2 A-Hypergeometric Systems

Arbitrary rank jumps for $A$ -hypergeometric systems through Laurent polynomials