3 citations · 3 across the 4 of their papers we have counts for
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math.AC2004
On the arithmetic rank of certain Segre products
Anurag K. Singh, Uli Walther
We compute the arithmetic ranks of the defining ideals of homogeneous coordinate rings of certain Segre products arising from elliptic curves. The cohomological dimension of these…
math.AG2004
Homological Methods for Hypergeometric Families
Laura Felicia Matusevich, Ezra Miller, Uli Walther
We analyze the behavior of the holonomic rank in families of holonomic systems over complex algebraic varieties by providing homological criteria for rank-jumps in this general set…
math.CO2004★ 3 cited
Arbitrary rank jumps for -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 we constru…