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Listar Algebra por autor "Fernández Fernández, María Cruz"
Mostrando ítems 1-14 de 14
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Artículo
Characteristic cycles and Gevrey series solutions of A -hypergeometric systems
Berkesch, Christine; Fernández Fernández, María Cruz (Mathematical Sciences Publishers, 2020-03-17)We compute the L -characteristic cycle of an A -hypergeometric system and higher Euler–Koszul homology modules of ...
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Exponential growth of rank jumps for A-hypergeometric systems
Fernández Fernández, María Cruz (European Mathematical Society, 2013)The dimension of the space of holomorphic solutions at nonsingular points (also called the holonomic rank) of a ...
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Gevrey and formal Nilsson solutions of A-hypergeometric systems
Fernández Fernández, María Cruz (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 ...
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Gevrey Expansions of Hypergeometric Integrals II
Castro Jiménez, Francisco Jesús; Fernández Fernández, María Cruz; Granger, Michel (Oxford University Press, 2019-12-01)We study integral representations of the Gevrey series solutions of irregular hypergeometric systems under certain ...
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Gevrey solutions of irregular hypergeometric systems in two variables
Fernández Fernández, María Cruz; Castro Jiménez, Francisco Jesús (Elsevier, 2011-08-01)We describe the Gevrey series solutions at singular points of the irregular hypergeometric system (GKZ system) associated ...
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Gevrey solutions of the irregular hypergeometric system associated with an affine monomial curve
Fernández Fernández, María Cruz; Castro Jiménez, Francisco Jesús (American Mathematical Society, 2011)We describe the Gevrey series solutions at singular points of the irregular hypergeometric system (GKZ system) associated ...
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Irregular hypergeometric D-modules
Fernández Fernández, María Cruz (E, 2010-08-01)We study the irregularity of hypergeometric D-modules MA(β) via the explicit construction of Gevrey series solutions along ...
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Irregular hypergeometric D-modules
Fernández Fernández, María Cruz (Elsevier, 2010-02-06)We study the irregularity of hypergeometric D-modules MA(β) via the explicit construction of Gevrey series solutions along ...
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Irregular modified A-Hypergeometric systems
Castro Jiménez, Francisco Jesús; Fernández Fernández, María Cruz; Koike, Tatsuya; Takayama, Nobuki (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 ...
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On irregular binomial D-modules
Fernández Fernández, María Cruz; Castro Jiménez, Francisco Jesús (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 ...
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On the local monodromy of AA-hypergeometric functions and some monodromy invariant subspaces
Fernández Fernández, María Cruz (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 ...
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On the rank of an A-hypergeometric D-module versus the normalized volume of A
Berkesch, Christine; Fernández Fernández, María Cruz (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, ...
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Restriction of hypergeometric D-modules with respect to coordinate subspaces
Fernández Fernández, María Cruz; Walther, Uli (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.
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Tesis Doctoral
Soluciones Gevrey de sistemas hipergeométricos
Fernández Fernández, María Cruz (2010)Esta memoria versa sobre la irregularidad de los D-módulos hipergeométricos MA(β)(cf. Definición 3.1.3), introducidos p ...