Álgebra
Collections in this community
Recent Submissions
-
Article
Monomial discrete valuations in k[[X]]
(Cornell University, 2003-07-17)Let v be a rank m discrete valuation of k[[X1,...,Xn]] with dimension n-m. We prove that there exists an inmediate extension L of K where the valuation is monomial. Therefore we compute explicitly the residue field of the valuation.
-
Article
Tautological systems and free divisors
(Elsevier, 2019-08-20)We introduce tautological systems defined by prehomogeneous actions of reductive algebraic groups. If the complement of ...
-
Article
Rings of differential operators as enveloping algebras of Hasse–Schmidt derivations
(Elsevier, 2020-01)Let k be a commutative ring and A a commutative k-algebra. In this paper we introduce the notion of enveloping algebra of ...
-
Article
On the bracket of integrable derivations
(Elsevier, 2021-05-15)We prove that any multi-variate Hasse–Schmidt derivation can be decomposed in terms of substitution maps and uni-variate ...
-
Chapter of Book
On Hasse–Schmidt Derivations: The Action of Substitution Maps
(Springer, 2018-09-19)We study the action of substitution maps between power series rings as an additional algebraic structure on the groups of Hasse–Schmidt derivations. This structure appears as a counterpart of the module structure on classical derivations.
-
Article
Linearity conditions on the Jacobian ideal and logarithmic--meromorphic comparison for free divisors
(Cornell University, 2008-04-14)In this paper we survey the role of D-module theory in the comparison between logarithmic and meromorphic de Rham complexes ...
-
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 ...
-
Article
Cohomology of the complement of a free divisor
(American Mathematical Society, 1996-08)We prove that if D is a "strongly quasihomogeneous" free divi- sor in the Stein manifold X, and U is its complement, ...
-
Article
On the computation of the Apéry set of numerical monoids and affine semigroups
(Springer, 2014-10-01)A simple way of computing the Apéry set of a numerical semigroup (or monoid) with respect to a generator, using Groebner ...
-
Article
Characterization of Gaps and Elements of a Numerical Semigroup Using Groebner Bases
(Cornell University, 2019-07-02)This article is partly a survey and partly a research paper. It tackles the use of Groebner bases for addressing problems ...
-
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, ...
-
Article
Irregular hypergeometric D-modules
(Elsevier, 2010-02-06)We study the irregularity of hypergeometric D-modules MA(β) via the explicit construction of Gevrey series solutions along ...
-
Article
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 ...
-
Article
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 ...
-
Article
On the minimal positive standardizer of a parabolic subgroup of an Artin–Tits group
(Springer, 2018-09-22)The minimal standardizer of a curve system on a punctured disk is the minimal positive braid that transforms it into a ...
-
Article
On loxodromic actions of Artin–Tits groups
(Elsevier, 2018-04-10)Artin–Tits groups act on a certain delta-hyperbolic complex, called the “additional length complex”. For an element of the ...
-
Article
Conjugacy stability of parabolic subgroups of Artin-Tits groups of spherical type
(Elsevier, 2020-08-15)We give a complete classification of conjugacy stable parabolic subgroups of Artin-Tits groups of spherical type. This ...
-
Article
A positive proportion of elements of mapping class groups is pseudo-Anosov
(Wiley, 2018-03-28)In the Cayley graph of the mapping class group of a closed surface, with respect to any generating set, we look at a ball ...
-
Article
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 ...
-
Article
An improved test set approach to nonlinear integer problems with applications to engineering design
(Proquest, 2015-03-14)Many problems in engineering design involve the use of nonlinearities and some integer variables. Methods based on test ...