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Mostrando ítems 1-10 de 13
Artículo
Gevrey solutions of irregular hypergeometric systems in two variables
(Elsevier, 2011-08-01)
We describe the Gevrey series solutions at singular points of the irregular hypergeometric system (GKZ system) associated with an affine plane monomial curve. We also describe the irregularity complex of such a system with ...
Artículo
Gevrey and formal Nilsson solutions of A-hypergeometric systems
(Elsevier, 2020-02-10)
We prove that the space of Gevrey solutions of an A–hypergeometric system along a coordinate subspace is contained in a space of formal Nilsson solutions. Moreover, under some additional condition, both spaces are equal. ...
Artículo
Irregular modified A-Hypergeometric systems
(American Mathematical Society, 2015)
A modified A-hypergeometric system is a system of differential equations for the function f(t w · x) where f(y) is a solution of an A-hypergeometric system in n variables and w is an n dimensional integer vector, which is ...
Artículo
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 ...
Artículo
On irregular binomial D-modules
(Springer, 2012-12)
We prove that a holonomic binomial D–module MA(I, β) is regular if and only if certain associated primes of I determined by the parameter vector β ∈ Cd are homogeneous. We further describe the slopes of MA(I, β) along a ...
Artículo
Restriction of hypergeometric D-modules with respect to coordinate subspaces
(American Mathematical Society, 2011)
We compute the restriction of an A-hypergeometric D-module with respect to a coordinate subspace under certain genericity conditions on the parameter.
Artículo
Gevrey Expansions of Hypergeometric Integrals II
(Oxford University Press, 2019-12-01)
We study integral representations of the Gevrey series solutions of irregular hypergeometric systems under certain assumptions. We prove that, for such systems, any Gevrey series solution, along a coordinate hyperplane of ...
Artículo
Exponential growth of rank jumps for A-hypergeometric systems
(European Mathematical Society, 2013)
The dimension of the space of holomorphic solutions at nonsingular points (also called the holonomic rank) of a A–hypergeometric system MA(β) is known to be bounded above by 22d vol(A) [SST00], where d is the rank of ...
Artículo
On the local monodromy of AA-hypergeometric functions and some monodromy invariant subspaces
(EMS Press, 2019-04-09)
We consider the p-center problem on tree graphs where the customers are modeled as continua subtrees. We address unweighted and weighted models as well as distances with and without addends. We prove that a relatively ...
Artículo
Characteristic cycles and Gevrey series solutions of A -hypergeometric systems
(Mathematical Sciences Publishers, 2020-03-17)
We compute the L -characteristic cycle of an A -hypergeometric system and higher Euler–Koszul homology modules of the toric ring. We also prove upper semicontinuity results about the multiplicities in these cycles ...