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      Higher derivations of modules and the Hasse-Schmidt module 

      Chiu, Christopher Heng; Narváez Macarro, Luis (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 ...
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      Hironaka's characteristic polygon and effective resolution of surfaces 

      Piedra Sánchez, Ramón; Tornero Sánchez, José María (Elsevier, 2007-03-01)
      Hironaka’s concept of characteristic polyhedron of a singularity has been one of the most powerful and fruitful ideas of ...
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      Hodge ideals of free divisors 

      Castaño Domínguez, Alberto; Narváez Macarro, Luis; Sevenheck, Christian (Springer, 2022-04-18)
      We consider the Hodge filtration on the sheaf of meromorphic functions along free divisors for which the logarithmic ...
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      Homotopy theory of bicomplexes 

      Muro Jiménez, Fernando; Roitzheim, Constanze (Elsevier, 2019-05)
      We define two model structures on the category of bicomplexes concentrated in the right half plane. The first model ...
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      Homotopy theory of non-symmetric operads, II: Change of base category and left properness 

      Muro Jiménez, Fernando (Mathematical Sciences Publishers, 2014)
      We prove, under mild assumptions, that a Quillen equivalence between symmetric monoidal model categories gives rise to a ...
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      Homotopy theory of nonsymmetric operads 

      Muro Jiménez, Fernando (Mathematical Sciences Publishers, 2011)
      We endow categories of nonsymmetric operads with natural model structures. We work with no restriction on our operads and ...
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      Homotopy units in A-infinity algebras 

      Muro Jiménez, Fernando (American Mathematical Society, 2016-03)
      We show that the canonical map from the associative operad to the unital associative operad is a homotopy epimorphism for ...
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      How to calculate the slopes of a D-module 

      Assi, Abdallah; Castro Jiménez, Francisco Jesús; Granger, Michel (Foundation Compositio Mathematica, 1996)
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      Improvements of the Weil bound for Artin-Schreier curves 

      Rojas León, Antonio; Wan, Daqing (Springer, 2011-10)
      For the Artin-Schreier curve y q − y = f(x) defined over a finite field Fq of q elements, the celebrated Weil bound for ...
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      Improving an algorithm to solve multiple simultaneous conjugacy problems in braid groups 

      González-Meneses López, Juan (American Mathematical Society, 2005)
      There are recent cryptographic protocols that are based on Multiple Simultaneous Conjugacy Problems in braid groups. We ...
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      Inequalities between Littlewood–Richardson coefficients 

      Bergeron, François; Biagioli, Riccardo; Rosas Celis, Mercedes Helena (Elsevier, 2006-05)
      We prove that a conjecture of Fomin, Fulton, Li, and Poon, associated to ordered pairs of partitions, holds for many ...
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      Integral points in rational polygons: a numerical semigroup approach 

      Márquez Campos, Guadalupe; Ramírez Alfonsín, Jorge Luis; Tornero Sánchez, José María (Springer, 2016)
      In this paper we use an elementary approach by using numerical semigroups (specifically, those with two generators) to ...
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      Invariants and coinvariants of the symmetric group in noncommuting variables 

      Bergeron, Nantel; Reutenauer, Christophe; Rosas Celis, Mercedes Helena; Zabrocki, Mike (University of Toronto Press, 2008)
      We introduce a natural Hopf algebra structure on the space of noncommutative symmetric functions. The bases for this algebra ...
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      Irregular Hodge filtration of some confluent hypergeometric systems 

      Castaño Domínguez, Alberto; Sevenheck, Christian (Cambridge University Press, 2019-05-24)
      We determine the irregular Hodge filtration, as introduced by Sabbah, for the purely irregular hypergeometric D-modules. ...
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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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      K-theory of derivators revisited 

      Muro Jiménez, Fernando; Raptis, George (Mathematical Sciences Publishers, 2017)
      We define a K-theory for pointed right derivators and show that it agrees with Waldhausen K-theory in the case where the ...
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      Katz-Radon transform of l-adic representations 

      Rojas León, Antonio (Duke University Press, 2012)
      We prove a simple explicit formula for the local Katz-Radon transform of an l-adic representation of the Galois group of ...
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      Key polynomials for simple extensions of valued fields 

      Herrera Govantes, Francisco Javier; Mahboub, W.; Olalla Acosta, Miguel Ángel (Worldwide Center of Mathematics, 2022-05-28)
      In this paper we present a refined version of MacLane's theory of key polynomials, similar to those considered by M. ...