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Article
On the rank of an A-hypergeometric D-module versus the normalized volume of A
(Wiley, 2022-03-06)
The rank of an A-hypergeometric D-module MA(β), associated with a full rank (d×n)-matrix A and a vector of parameters β∈Cd, is known to be the normalized volume of A, denoted vol(A), when β lies outside the exceptional ...
Article
Higher derivations of modules and the Hasse-Schmidt module
(Cornell University, 2020-07-28)
In this paper we revisit Ribenboim's notion of higher derivations of modules and relate it to the recent work of De Fernex and Docampo on the sheaf of differentials of the arc space. In particular, we derive their formula ...