NameFernández Fernández, María Cruz
DepartmentAlgebra
Knowledge areaÁlgebra
Professional categoryProfesora Titular de Universidad
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  • No. publications

    15

  • No. visits

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    1616


 

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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)
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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Characteristic cycles and Gevrey series solutions of A -hypergeometric systems

Berkesch, Christine; Fernández Fernández, María Cruz (Mathematical Sciences Publishers, 2020)
We compute the L -characteristic cycle of an A -hypergeometric system and higher Euler–Koszul homology modules of the ...
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Gevrey and formal Nilsson solutions of A-hypergeometric systems

Fernández Fernández, María Cruz (Elsevier, 2020)
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)
We study integral representations of the Gevrey series solutions of irregular hypergeometric systems under certain ...
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On the local monodromy of AA-hypergeometric functions and some monodromy invariant subspaces

Fernández Fernández, María Cruz (EMS Press, 2019)
We consider the p-center problem on tree graphs where the customers are modeled as continua subtrees. We address unweighted ...
Final Degree Project
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Abanicos de Groebner e ideales tóricos

Fernández Antúnez, Fátima; Fernández Fernández, María Cruz (2016)
The Groebner fan of a polynomial ideal was originally introduced by T. Mora and L. Robbiano in 1988. In this Bachelor’s ...
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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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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 A–hypergeometric ...
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On irregular binomial D-modules

Fernández Fernández, María Cruz; Castro Jiménez, Francisco Jesús (Springer, 2012)
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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Gevrey solutions of irregular hypergeometric systems in two variables

Fernández Fernández, María Cruz; Castro Jiménez, Francisco Jesús (Elsevier, 2011)
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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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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Irregular hypergeometric D-modules

Fernández Fernández, María Cruz (E, 2010)
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)
We study the irregularity of hypergeometric D-modules MA(β) via the explicit construction of Gevrey series solutions along ...
PhD Thesis
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Soluciones Gevrey de sistemas hipergeométricos

Fernández Fernández, María Cruz; Castro Jiménez, Francisco Jesús (2010)
Esta memoria versa sobre la irregularidad de los D-módulos hipergeométricos MA(β)(cf. Definición 3.1.3), introducidos p ...